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Finding the Fourth Proportional to 12,373.97, 18,565.08 and 8,230.31

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Solution

The fourth proportional to 12,373.97, 18,565.08 and 8,230.31 is: 12,348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,373.97 : 18,565.08 = 8,230.31 : x
  2. Step 2: Convert to fraction form
    12,373.97/18,565.08 = 8,230.31/x
  3. Step 3: Cross multiply
    12,373.97x = 18,565.08 × 8,230.31
  4. Step 4: Simplify right side
    12,373.97x = 152,796,363.57
  5. Step 5: Solve for x
    x = 152,796,363.57/12,373.97
  6. Step 6: Final answer
    x = 12,348.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.