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Finding the Fourth Proportional to 16,379.52, 24,543.36 and 8,580.48

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Solution

The fourth proportional to 16,379.52, 24,543.36 and 8,580.48 is: 12,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,379.52 : 24,543.36 = 8,580.48 : x
  2. Step 2: Convert to fraction form
    16,379.52/24,543.36 = 8,580.48/x
  3. Step 3: Cross multiply
    16,379.52x = 24,543.36 × 8,580.48
  4. Step 4: Simplify right side
    16,379.52x = 210,593,809.61
  5. Step 5: Solve for x
    x = 210,593,809.61/16,379.52
  6. Step 6: Final answer
    x = 12,857.14

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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.