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Finding the Fourth Proportional to 18,539.22, 25,584 and 10,581

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Solution

The fourth proportional to 18,539.22, 25,584 and 10,581 is: 14,601.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,539.22 : 25,584 = 10,581 : x
  2. Step 2: Convert to fraction form
    18,539.22/25,584 = 10,581/x
  3. Step 3: Cross multiply
    18,539.22x = 25,584 × 10,581
  4. Step 4: Simplify right side
    18,539.22x = 270,704,304
  5. Step 5: Solve for x
    x = 270,704,304/18,539.22
  6. Step 6: Final answer
    x = 14,601.71

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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.