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Finding the Fourth Proportional to 18,613.16, 25,686.60 and 10,229.84

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Solution

The fourth proportional to 18,613.16, 25,686.60 and 10,229.84 is: 14,117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,613.16 : 25,686.60 = 10,229.84 : x
  2. Step 2: Convert to fraction form
    18,613.16/25,686.60 = 10,229.84/x
  3. Step 3: Cross multiply
    18,613.16x = 25,686.60 × 10,229.84
  4. Step 4: Simplify right side
    18,613.16x = 262,769,808.14
  5. Step 5: Solve for x
    x = 262,769,808.14/18,613.16
  6. Step 6: Final answer
    x = 14,117.42

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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.