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Finding the Fourth Proportional to 16,542.84, 22,829 and 8,989.10

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Solution

The fourth proportional to 16,542.84, 22,829 and 8,989.10 is: 12,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.84 : 22,829 = 8,989.10 : x
  2. Step 2: Convert to fraction form
    16,542.84/22,829 = 8,989.10/x
  3. Step 3: Cross multiply
    16,542.84x = 22,829 × 8,989.10
  4. Step 4: Simplify right side
    16,542.84x = 205,212,163.90
  5. Step 5: Solve for x
    x = 205,212,163.90/16,542.84
  6. Step 6: Final answer
    x = 12,404.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.