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Finding the Fourth Proportional to 14,840.69, 20,470.92 and 9,177.17

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Solution

The fourth proportional to 14,840.69, 20,470.92 and 9,177.17 is: 12,658.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,840.69 : 20,470.92 = 9,177.17 : x
  2. Step 2: Convert to fraction form
    14,840.69/20,470.92 = 9,177.17/x
  3. Step 3: Cross multiply
    14,840.69x = 20,470.92 × 9,177.17
  4. Step 4: Simplify right side
    14,840.69x = 187,865,010.54
  5. Step 5: Solve for x
    x = 187,865,010.54/14,840.69
  6. Step 6: Final answer
    x = 12,658.78

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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.