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Finding the Fourth Proportional to 16,562.14, 24,845.68 and 5,470

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Solution

The fourth proportional to 16,562.14, 24,845.68 and 5,470 is: 8,205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,562.14 : 24,845.68 = 5,470 : x
  2. Step 2: Convert to fraction form
    16,562.14/24,845.68 = 5,470/x
  3. Step 3: Cross multiply
    16,562.14x = 24,845.68 × 5,470
  4. Step 4: Simplify right side
    16,562.14x = 135,905,869.60
  5. Step 5: Solve for x
    x = 135,905,869.60/16,562.14
  6. Step 6: Final answer
    x = 8,205.82

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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.