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Finding the Fourth Proportional to 13,613.60, 20,424.49 and 4,253.24

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Solution

The fourth proportional to 13,613.60, 20,424.49 and 4,253.24 is: 6,381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.60 : 20,424.49 = 4,253.24 : x
  2. Step 2: Convert to fraction form
    13,613.60/20,424.49 = 4,253.24/x
  3. Step 3: Cross multiply
    13,613.60x = 20,424.49 × 4,253.24
  4. Step 4: Simplify right side
    13,613.60x = 86,870,298.28
  5. Step 5: Solve for x
    x = 86,870,298.28/13,613.60
  6. Step 6: Final answer
    x = 6,381.14

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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.