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Finding the Fourth Proportional to 16,468.14, 24,702.96 and 5,374.98

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Solution

The fourth proportional to 16,468.14, 24,702.96 and 5,374.98 is: 8,062.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,468.14 : 24,702.96 = 5,374.98 : x
  2. Step 2: Convert to fraction form
    16,468.14/24,702.96 = 5,374.98/x
  3. Step 3: Cross multiply
    16,468.14x = 24,702.96 × 5,374.98
  4. Step 4: Simplify right side
    16,468.14x = 132,777,915.94
  5. Step 5: Solve for x
    x = 132,777,915.94/16,468.14
  6. Step 6: Final answer
    x = 8,062.71

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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.