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Finding the Fourth Proportional to 14,667.31, 22,011.90 and 5,902.29

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Solution

The fourth proportional to 14,667.31, 22,011.90 and 5,902.29 is: 8,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,667.31 : 22,011.90 = 5,902.29 : x
  2. Step 2: Convert to fraction form
    14,667.31/22,011.90 = 5,902.29/x
  3. Step 3: Cross multiply
    14,667.31x = 22,011.90 × 5,902.29
  4. Step 4: Simplify right side
    14,667.31x = 129,920,587.74
  5. Step 5: Solve for x
    x = 129,920,587.74/14,667.31
  6. Step 6: Final answer
    x = 8,857.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.