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Finding the Fourth Proportional to 14,709.72, 22,052.17 and 6,383.48

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Solution

The fourth proportional to 14,709.72, 22,052.17 and 6,383.48 is: 9,569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.72 : 22,052.17 = 6,383.48 : x
  2. Step 2: Convert to fraction form
    14,709.72/22,052.17 = 6,383.48/x
  3. Step 3: Cross multiply
    14,709.72x = 22,052.17 × 6,383.48
  4. Step 4: Simplify right side
    14,709.72x = 140,769,586.15
  5. Step 5: Solve for x
    x = 140,769,586.15/14,709.72
  6. Step 6: Final answer
    x = 9,569.83

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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.