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Finding the Fourth Proportional to 16,431.71, 22,667.85 and 10,764

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Solution

The fourth proportional to 16,431.71, 22,667.85 and 10,764 is: 14,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431.71 : 22,667.85 = 10,764 : x
  2. Step 2: Convert to fraction form
    16,431.71/22,667.85 = 10,764/x
  3. Step 3: Cross multiply
    16,431.71x = 22,667.85 × 10,764
  4. Step 4: Simplify right side
    16,431.71x = 243,996,737.40
  5. Step 5: Solve for x
    x = 243,996,737.40/16,431.71
  6. Step 6: Final answer
    x = 14,849.14

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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.