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Finding the Fourth Proportional to 12,706.72, 17,535.20 and 7,329.12

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Solution

The fourth proportional to 12,706.72, 17,535.20 and 7,329.12 is: 10,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.72 : 17,535.20 = 7,329.12 : x
  2. Step 2: Convert to fraction form
    12,706.72/17,535.20 = 7,329.12/x
  3. Step 3: Cross multiply
    12,706.72x = 17,535.20 × 7,329.12
  4. Step 4: Simplify right side
    12,706.72x = 128,517,585.02
  5. Step 5: Solve for x
    x = 128,517,585.02/12,706.72
  6. Step 6: Final answer
    x = 10,114.14

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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.