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Finding the Fourth Proportional to 12,830,843.60, 19,264,927.80 and 9,658,235.60

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Solution

The fourth proportional to 12,830,843.60, 19,264,927.80 and 9,658,235.60 is: 14,501,401.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830,843.60 : 19,264,927.80 = 9,658,235.60 : x
  2. Step 2: Convert to fraction form
    12,830,843.60/19,264,927.80 = 9,658,235.60/x
  3. Step 3: Cross multiply
    12,830,843.60x = 19,264,927.80 × 9,658,235.60
  4. Step 4: Simplify right side
    12,830,843.60x = 186,065,211,509,389.69
  5. Step 5: Solve for x
    x = 186,065,211,509,389.69/12,830,843.60
  6. Step 6: Final answer
    x = 14,501,401.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.