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Finding the Fourth Proportional to 12,678.93, 19,014.48 and 4,782.58

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Solution

The fourth proportional to 12,678.93, 19,014.48 and 4,782.58 is: 7,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.93 : 19,014.48 = 4,782.58 : x
  2. Step 2: Convert to fraction form
    12,678.93/19,014.48 = 4,782.58/x
  3. Step 3: Cross multiply
    12,678.93x = 19,014.48 × 4,782.58
  4. Step 4: Simplify right side
    12,678.93x = 90,938,224.22
  5. Step 5: Solve for x
    x = 90,938,224.22/12,678.93
  6. Step 6: Final answer
    x = 7,172.39

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