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Finding the Fourth Proportional to 25,613.62, 38,419.03 and 9,826.22

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Solution

The fourth proportional to 25,613.62, 38,419.03 and 9,826.22 is: 14,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,613.62 : 38,419.03 = 9,826.22 : x
  2. Step 2: Convert to fraction form
    25,613.62/38,419.03 = 9,826.22/x
  3. Step 3: Cross multiply
    25,613.62x = 38,419.03 × 9,826.22
  4. Step 4: Simplify right side
    25,613.62x = 377,513,840.97
  5. Step 5: Solve for x
    x = 377,513,840.97/25,613.62
  6. Step 6: Final answer
    x = 14,738.79

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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.