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Finding the Fourth Proportional to 16,542.75, 22,829.41 and 8,989

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Solution

The fourth proportional to 16,542.75, 22,829.41 and 8,989 is: 12,405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.75 : 22,829.41 = 8,989 : x
  2. Step 2: Convert to fraction form
    16,542.75/22,829.41 = 8,989/x
  3. Step 3: Cross multiply
    16,542.75x = 22,829.41 × 8,989
  4. Step 4: Simplify right side
    16,542.75x = 205,213,566.49
  5. Step 5: Solve for x
    x = 205,213,566.49/16,542.75
  6. Step 6: Final answer
    x = 12,405.05

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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.