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Finding the Fourth Proportional to 12,707.60, 17,535.98 and 7,042.43

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Solution

The fourth proportional to 12,707.60, 17,535.98 and 7,042.43 is: 9,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.60 : 17,535.98 = 7,042.43 : x
  2. Step 2: Convert to fraction form
    12,707.60/17,535.98 = 7,042.43/x
  3. Step 3: Cross multiply
    12,707.60x = 17,535.98 × 7,042.43
  4. Step 4: Simplify right side
    12,707.60x = 123,495,876.42
  5. Step 5: Solve for x
    x = 123,495,876.42/12,707.60
  6. Step 6: Final answer
    x = 9,718.27

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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.