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Finding the Fourth Proportional to 12,711.48, 17,543.56 and 7,407.96

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Solution

The fourth proportional to 12,711.48, 17,543.56 and 7,407.96 is: 10,223.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.48 : 17,543.56 = 7,407.96 : x
  2. Step 2: Convert to fraction form
    12,711.48/17,543.56 = 7,407.96/x
  3. Step 3: Cross multiply
    12,711.48x = 17,543.56 × 7,407.96
  4. Step 4: Simplify right side
    12,711.48x = 129,961,990.74
  5. Step 5: Solve for x
    x = 129,961,990.74/12,711.48
  6. Step 6: Final answer
    x = 10,223.99

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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.