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Finding the Fourth Proportional to 20,508.38, 30,737.19 and 14,575.81

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Solution

The fourth proportional to 20,508.38, 30,737.19 and 14,575.81 is: 21,845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,508.38 : 30,737.19 = 14,575.81 : x
  2. Step 2: Convert to fraction form
    20,508.38/30,737.19 = 14,575.81/x
  3. Step 3: Cross multiply
    20,508.38x = 30,737.19 × 14,575.81
  4. Step 4: Simplify right side
    20,508.38x = 448,019,441.37
  5. Step 5: Solve for x
    x = 448,019,441.37/20,508.38
  6. Step 6: Final answer
    x = 21,845.68

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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.