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Finding the Fourth Proportional to 20,166.34, 30,248.82 and 7,685.92

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Solution

The fourth proportional to 20,166.34, 30,248.82 and 7,685.92 is: 11,528.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,166.34 : 30,248.82 = 7,685.92 : x
  2. Step 2: Convert to fraction form
    20,166.34/30,248.82 = 7,685.92/x
  3. Step 3: Cross multiply
    20,166.34x = 30,248.82 × 7,685.92
  4. Step 4: Simplify right side
    20,166.34x = 232,490,010.61
  5. Step 5: Solve for x
    x = 232,490,010.61/20,166.34
  6. Step 6: Final answer
    x = 11,528.62

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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.