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Finding the Fourth Proportional to 16,281.60, 24,422.40 and 5,892

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Solution

The fourth proportional to 16,281.60, 24,422.40 and 5,892 is: 8,838

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.60 : 24,422.40 = 5,892 : x
  2. Step 2: Convert to fraction form
    16,281.60/24,422.40 = 5,892/x
  3. Step 3: Cross multiply
    16,281.60x = 24,422.40 × 5,892
  4. Step 4: Simplify right side
    16,281.60x = 143,896,780.80
  5. Step 5: Solve for x
    x = 143,896,780.80/16,281.60
  6. Step 6: Final answer
    x = 8,838

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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.