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Finding the Fourth Proportional to 15,697.62, 23,555.61 and 5,843.88

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Solution

The fourth proportional to 15,697.62, 23,555.61 and 5,843.88 is: 8,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.62 : 23,555.61 = 5,843.88 : x
  2. Step 2: Convert to fraction form
    15,697.62/23,555.61 = 5,843.88/x
  3. Step 3: Cross multiply
    15,697.62x = 23,555.61 × 5,843.88
  4. Step 4: Simplify right side
    15,697.62x = 137,656,158.17
  5. Step 5: Solve for x
    x = 137,656,158.17/15,697.62
  6. Step 6: Final answer
    x = 8,769.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.