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Finding the Fourth Proportional to 16,555.97, 22,847.33 and 9,002.37

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Solution

The fourth proportional to 16,555.97, 22,847.33 and 9,002.37 is: 12,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,555.97 : 22,847.33 = 9,002.37 : x
  2. Step 2: Convert to fraction form
    16,555.97/22,847.33 = 9,002.37/x
  3. Step 3: Cross multiply
    16,555.97x = 22,847.33 × 9,002.37
  4. Step 4: Simplify right side
    16,555.97x = 205,680,073.16
  5. Step 5: Solve for x
    x = 205,680,073.16/16,555.97
  6. Step 6: Final answer
    x = 12,423.32

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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.