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Finding the Fourth Proportional to 20,545.84, 30,818.96 and 6,505.61

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Solution

The fourth proportional to 20,545.84, 30,818.96 and 6,505.61 is: 9,758.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,545.84 : 30,818.96 = 6,505.61 : x
  2. Step 2: Convert to fraction form
    20,545.84/30,818.96 = 6,505.61/x
  3. Step 3: Cross multiply
    20,545.84x = 30,818.96 × 6,505.61
  4. Step 4: Simplify right side
    20,545.84x = 200,496,008.73
  5. Step 5: Solve for x
    x = 200,496,008.73/20,545.84
  6. Step 6: Final answer
    x = 9,758.47

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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.