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Finding the Fourth Proportional to 16,227.84, 24,342.62 and 5,135.70

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Solution

The fourth proportional to 16,227.84, 24,342.62 and 5,135.70 is: 7,703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,227.84 : 24,342.62 = 5,135.70 : x
  2. Step 2: Convert to fraction form
    16,227.84/24,342.62 = 5,135.70/x
  3. Step 3: Cross multiply
    16,227.84x = 24,342.62 × 5,135.70
  4. Step 4: Simplify right side
    16,227.84x = 125,016,367.86
  5. Step 5: Solve for x
    x = 125,016,367.86/16,227.84
  6. Step 6: Final answer
    x = 7,703.82

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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.