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Finding the Fourth Proportional to 16,352.73, 22,566.47 and 9,182.70

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Solution

The fourth proportional to 16,352.73, 22,566.47 and 9,182.70 is: 12,671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,352.73 : 22,566.47 = 9,182.70 : x
  2. Step 2: Convert to fraction form
    16,352.73/22,566.47 = 9,182.70/x
  3. Step 3: Cross multiply
    16,352.73x = 22,566.47 × 9,182.70
  4. Step 4: Simplify right side
    16,352.73x = 207,221,078.16
  5. Step 5: Solve for x
    x = 207,221,078.16/16,352.73
  6. Step 6: Final answer
    x = 12,671.96

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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.