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Finding the Fourth Proportional to 18,765.52, 25,896.38 and 10,382

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Solution

The fourth proportional to 18,765.52, 25,896.38 and 10,382 is: 14,327.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,765.52 : 25,896.38 = 10,382 : x
  2. Step 2: Convert to fraction form
    18,765.52/25,896.38 = 10,382/x
  3. Step 3: Cross multiply
    18,765.52x = 25,896.38 × 10,382
  4. Step 4: Simplify right side
    18,765.52x = 268,856,217.16
  5. Step 5: Solve for x
    x = 268,856,217.16/18,765.52
  6. Step 6: Final answer
    x = 14,327.14

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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.