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Finding the Fourth Proportional to 23,471.52, 32,391.14 and 12,861.08

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Solution

The fourth proportional to 23,471.52, 32,391.14 and 12,861.08 is: 17,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.52 : 32,391.14 = 12,861.08 : x
  2. Step 2: Convert to fraction form
    23,471.52/32,391.14 = 12,861.08/x
  3. Step 3: Cross multiply
    23,471.52x = 32,391.14 × 12,861.08
  4. Step 4: Simplify right side
    23,471.52x = 416,585,010.38
  5. Step 5: Solve for x
    x = 416,585,010.38/23,471.52
  6. Step 6: Final answer
    x = 17,748.53

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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.