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Finding the Fourth Proportional to 16,427, 24,644.40 and 5,333.72

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Solution

The fourth proportional to 16,427, 24,644.40 and 5,333.72 is: 8,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427 : 24,644.40 = 5,333.72 : x
  2. Step 2: Convert to fraction form
    16,427/24,644.40 = 5,333.72/x
  3. Step 3: Cross multiply
    16,427x = 24,644.40 × 5,333.72
  4. Step 4: Simplify right side
    16,427x = 131,446,329.17
  5. Step 5: Solve for x
    x = 131,446,329.17/16,427
  6. Step 6: Final answer
    x = 8,001.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.