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Finding the Fourth Proportional to 23,202.96, 32,020.19 and 12,592.59

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Solution

The fourth proportional to 23,202.96, 32,020.19 and 12,592.59 is: 17,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,202.96 : 32,020.19 = 12,592.59 : x
  2. Step 2: Convert to fraction form
    23,202.96/32,020.19 = 12,592.59/x
  3. Step 3: Cross multiply
    23,202.96x = 32,020.19 × 12,592.59
  4. Step 4: Simplify right side
    23,202.96x = 403,217,124.39
  5. Step 5: Solve for x
    x = 403,217,124.39/23,202.96
  6. Step 6: Final answer
    x = 17,377.83

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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.