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Finding the Fourth Proportional to 22,624.87, 31,214.24 and 14,123.76

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Solution

The fourth proportional to 22,624.87, 31,214.24 and 14,123.76 is: 19,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,624.87 : 31,214.24 = 14,123.76 : x
  2. Step 2: Convert to fraction form
    22,624.87/31,214.24 = 14,123.76/x
  3. Step 3: Cross multiply
    22,624.87x = 31,214.24 × 14,123.76
  4. Step 4: Simplify right side
    22,624.87x = 440,862,404.16
  5. Step 5: Solve for x
    x = 440,862,404.16/22,624.87
  6. Step 6: Final answer
    x = 19,485.75

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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.