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Finding the Fourth Proportional to 16,379.34, 24,572.70 and 5,991

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Solution

The fourth proportional to 16,379.34, 24,572.70 and 5,991 is: 8,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,379.34 : 24,572.70 = 5,991 : x
  2. Step 2: Convert to fraction form
    16,379.34/24,572.70 = 5,991/x
  3. Step 3: Cross multiply
    16,379.34x = 24,572.70 × 5,991
  4. Step 4: Simplify right side
    16,379.34x = 147,215,045.70
  5. Step 5: Solve for x
    x = 147,215,045.70/16,379.34
  6. Step 6: Final answer
    x = 8,987.85

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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.