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Finding the Fourth Proportional to 14,765.67, 22,123.42 and 8,909.97

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Solution

The fourth proportional to 14,765.67, 22,123.42 and 8,909.97 is: 13,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,765.67 : 22,123.42 = 8,909.97 : x
  2. Step 2: Convert to fraction form
    14,765.67/22,123.42 = 8,909.97/x
  3. Step 3: Cross multiply
    14,765.67x = 22,123.42 × 8,909.97
  4. Step 4: Simplify right side
    14,765.67x = 197,119,008.50
  5. Step 5: Solve for x
    x = 197,119,008.50/14,765.67
  6. Step 6: Final answer
    x = 13,349.82

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Why These Related Problems?

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