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Finding the Fourth Proportional to 22,687.92, 31,298.40 and 14,624.64

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Solution

The fourth proportional to 22,687.92, 31,298.40 and 14,624.64 is: 20,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,687.92 : 31,298.40 = 14,624.64 : x
  2. Step 2: Convert to fraction form
    22,687.92/31,298.40 = 14,624.64/x
  3. Step 3: Cross multiply
    22,687.92x = 31,298.40 × 14,624.64
  4. Step 4: Simplify right side
    22,687.92x = 457,727,832.58
  5. Step 5: Solve for x
    x = 457,727,832.58/22,687.92
  6. Step 6: Final answer
    x = 20,174.96

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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.