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Finding the Fourth Proportional to 25,384.41, 38,076.17 and 8,744.06

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Solution

The fourth proportional to 25,384.41, 38,076.17 and 8,744.06 is: 13,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,384.41 : 38,076.17 = 8,744.06 : x
  2. Step 2: Convert to fraction form
    25,384.41/38,076.17 = 8,744.06/x
  3. Step 3: Cross multiply
    25,384.41x = 38,076.17 × 8,744.06
  4. Step 4: Simplify right side
    25,384.41x = 332,940,080.95
  5. Step 5: Solve for x
    x = 332,940,080.95/25,384.41
  6. Step 6: Final answer
    x = 13,115.93

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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.