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Finding the Fourth Proportional to 18,591, 25,657.20 and 10,209.12

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Solution

The fourth proportional to 18,591, 25,657.20 and 10,209.12 is: 14,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,591 : 25,657.20 = 10,209.12 : x
  2. Step 2: Convert to fraction form
    18,591/25,657.20 = 10,209.12/x
  3. Step 3: Cross multiply
    18,591x = 25,657.20 × 10,209.12
  4. Step 4: Simplify right side
    18,591x = 261,937,433.66
  5. Step 5: Solve for x
    x = 261,937,433.66/18,591
  6. Step 6: Final answer
    x = 14,089.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.