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Finding the Fourth Proportional to 25,462.32, 38,204.76 and 9,881.12

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Solution

The fourth proportional to 25,462.32, 38,204.76 and 9,881.12 is: 14,826.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,462.32 : 38,204.76 = 9,881.12 : x
  2. Step 2: Convert to fraction form
    25,462.32/38,204.76 = 9,881.12/x
  3. Step 3: Cross multiply
    25,462.32x = 38,204.76 × 9,881.12
  4. Step 4: Simplify right side
    25,462.32x = 377,505,818.13
  5. Step 5: Solve for x
    x = 377,505,818.13/25,462.32
  6. Step 6: Final answer
    x = 14,826.06

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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.