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Finding the Fourth Proportional to 19,631.68, 29,452.38 and 9,241

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Solution

The fourth proportional to 19,631.68, 29,452.38 and 9,241 is: 13,863.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,631.68 : 29,452.38 = 9,241 : x
  2. Step 2: Convert to fraction form
    19,631.68/29,452.38 = 9,241/x
  3. Step 3: Cross multiply
    19,631.68x = 29,452.38 × 9,241
  4. Step 4: Simplify right side
    19,631.68x = 272,169,443.58
  5. Step 5: Solve for x
    x = 272,169,443.58/19,631.68
  6. Step 6: Final answer
    x = 13,863.79

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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.