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Finding the Fourth Proportional to 25,409.93, 38,118.59 and 7,881.17

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Solution

The fourth proportional to 25,409.93, 38,118.59 and 7,881.17 is: 11,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,409.93 : 38,118.59 = 7,881.17 : x
  2. Step 2: Convert to fraction form
    25,409.93/38,118.59 = 7,881.17/x
  3. Step 3: Cross multiply
    25,409.93x = 38,118.59 × 7,881.17
  4. Step 4: Simplify right side
    25,409.93x = 300,419,087.95
  5. Step 5: Solve for x
    x = 300,419,087.95/25,409.93
  6. Step 6: Final answer
    x = 11,822.90

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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.