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Finding the Fourth Proportional to 16,044.46, 24,069 and 8,638.90

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Solution

The fourth proportional to 16,044.46, 24,069 and 8,638.90 is: 12,959.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,044.46 : 24,069 = 8,638.90 : x
  2. Step 2: Convert to fraction form
    16,044.46/24,069 = 8,638.90/x
  3. Step 3: Cross multiply
    16,044.46x = 24,069 × 8,638.90
  4. Step 4: Simplify right side
    16,044.46x = 207,929,684.10
  5. Step 5: Solve for x
    x = 207,929,684.10/16,044.46
  6. Step 6: Final answer
    x = 12,959.59

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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.