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Finding the Fourth Proportional to 25,456.84, 38,172.92 and 8,817.82

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Solution

The fourth proportional to 25,456.84, 38,172.92 and 8,817.82 is: 13,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,456.84 : 38,172.92 = 8,817.82 : x
  2. Step 2: Convert to fraction form
    25,456.84/38,172.92 = 8,817.82/x
  3. Step 3: Cross multiply
    25,456.84x = 38,172.92 × 8,817.82
  4. Step 4: Simplify right side
    25,456.84x = 336,601,937.43
  5. Step 5: Solve for x
    x = 336,601,937.43/25,456.84
  6. Step 6: Final answer
    x = 13,222.46

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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.