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Finding the Fourth Proportional to 16,564.38, 24,840.48 and 5,467.78

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Solution

The fourth proportional to 16,564.38, 24,840.48 and 5,467.78 is: 8,199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.38 : 24,840.48 = 5,467.78 : x
  2. Step 2: Convert to fraction form
    16,564.38/24,840.48 = 5,467.78/x
  3. Step 3: Cross multiply
    16,564.38x = 24,840.48 × 5,467.78
  4. Step 4: Simplify right side
    16,564.38x = 135,822,279.73
  5. Step 5: Solve for x
    x = 135,822,279.73/16,564.38
  6. Step 6: Final answer
    x = 8,199.66

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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.