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Finding the Fourth Proportional to 16,542.77, 22,829.04 and 8,989.11

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Solution

The fourth proportional to 16,542.77, 22,829.04 and 8,989.11 is: 12,404.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.77 : 22,829.04 = 8,989.11 : x
  2. Step 2: Convert to fraction form
    16,542.77/22,829.04 = 8,989.11/x
  3. Step 3: Cross multiply
    16,542.77x = 22,829.04 × 8,989.11
  4. Step 4: Simplify right side
    16,542.77x = 205,212,751.75
  5. Step 5: Solve for x
    x = 205,212,751.75/16,542.77
  6. Step 6: Final answer
    x = 12,404.99

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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.