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Finding the Fourth Proportional to 15,840.30, 21,860.67 and 9,128.10

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Solution

The fourth proportional to 15,840.30, 21,860.67 and 9,128.10 is: 12,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840.30 : 21,860.67 = 9,128.10 : x
  2. Step 2: Convert to fraction form
    15,840.30/21,860.67 = 9,128.10/x
  3. Step 3: Cross multiply
    15,840.30x = 21,860.67 × 9,128.10
  4. Step 4: Simplify right side
    15,840.30x = 199,546,381.83
  5. Step 5: Solve for x
    x = 199,546,381.83/15,840.30
  6. Step 6: Final answer
    x = 12,597.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.