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Finding the Fourth Proportional to 15,106.62, 22,656.50 and 5,743.30

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Solution

The fourth proportional to 15,106.62, 22,656.50 and 5,743.30 is: 8,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.62 : 22,656.50 = 5,743.30 : x
  2. Step 2: Convert to fraction form
    15,106.62/22,656.50 = 5,743.30/x
  3. Step 3: Cross multiply
    15,106.62x = 22,656.50 × 5,743.30
  4. Step 4: Simplify right side
    15,106.62x = 130,123,118.73
  5. Step 5: Solve for x
    x = 130,123,118.73/15,106.62
  6. Step 6: Final answer
    x = 8,613.65

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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.