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Finding the Fourth Proportional to 25,462.74, 38,194.14 and 9,884.04

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Solution

The fourth proportional to 25,462.74, 38,194.14 and 9,884.04 is: 14,826.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,462.74 : 38,194.14 = 9,884.04 : x
  2. Step 2: Convert to fraction form
    25,462.74/38,194.14 = 9,884.04/x
  3. Step 3: Cross multiply
    25,462.74x = 38,194.14 × 9,884.04
  4. Step 4: Simplify right side
    25,462.74x = 377,512,407.53
  5. Step 5: Solve for x
    x = 377,512,407.53/25,462.74
  6. Step 6: Final answer
    x = 14,826.07

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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.