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Finding the Fourth Proportional to 16,486.74, 24,724.89 and 5,390.87

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Solution

The fourth proportional to 16,486.74, 24,724.89 and 5,390.87 is: 8,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486.74 : 24,724.89 = 5,390.87 : x
  2. Step 2: Convert to fraction form
    16,486.74/24,724.89 = 5,390.87/x
  3. Step 3: Cross multiply
    16,486.74x = 24,724.89 × 5,390.87
  4. Step 4: Simplify right side
    16,486.74x = 133,288,544.13
  5. Step 5: Solve for x
    x = 133,288,544.13/16,486.74
  6. Step 6: Final answer
    x = 8,084.59

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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.