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Finding the Fourth Proportional to 22,591.65, 31,176.65 and 12,520.25

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Solution

The fourth proportional to 22,591.65, 31,176.65 and 12,520.25 is: 17,278.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,591.65 : 31,176.65 = 12,520.25 : x
  2. Step 2: Convert to fraction form
    22,591.65/31,176.65 = 12,520.25/x
  3. Step 3: Cross multiply
    22,591.65x = 31,176.65 × 12,520.25
  4. Step 4: Simplify right side
    22,591.65x = 390,339,452.16
  5. Step 5: Solve for x
    x = 390,339,452.16/22,591.65
  6. Step 6: Final answer
    x = 17,278.04

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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.