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Finding the Fourth Proportional to 12,884.52, 17,781 and 7,295.52

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Solution

The fourth proportional to 12,884.52, 17,781 and 7,295.52 is: 10,068.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.52 : 17,781 = 7,295.52 : x
  2. Step 2: Convert to fraction form
    12,884.52/17,781 = 7,295.52/x
  3. Step 3: Cross multiply
    12,884.52x = 17,781 × 7,295.52
  4. Step 4: Simplify right side
    12,884.52x = 129,721,641.12
  5. Step 5: Solve for x
    x = 129,721,641.12/12,884.52
  6. Step 6: Final answer
    x = 10,068.02

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