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Finding the Fourth Proportional to 12,663.31, 17,464 and 10,545.84

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Solution

The fourth proportional to 12,663.31, 17,464 and 10,545.84 is: 14,543.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663.31 : 17,464 = 10,545.84 : x
  2. Step 2: Convert to fraction form
    12,663.31/17,464 = 10,545.84/x
  3. Step 3: Cross multiply
    12,663.31x = 17,464 × 10,545.84
  4. Step 4: Simplify right side
    12,663.31x = 184,172,549.76
  5. Step 5: Solve for x
    x = 184,172,549.76/12,663.31
  6. Step 6: Final answer
    x = 14,543.79

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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.