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Finding the Fourth Proportional to 25,678.77, 38,518.06 and 8,149.97

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Solution

The fourth proportional to 25,678.77, 38,518.06 and 8,149.97 is: 12,224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,678.77 : 38,518.06 = 8,149.97 : x
  2. Step 2: Convert to fraction form
    25,678.77/38,518.06 = 8,149.97/x
  3. Step 3: Cross multiply
    25,678.77x = 38,518.06 × 8,149.97
  4. Step 4: Simplify right side
    25,678.77x = 313,921,033.46
  5. Step 5: Solve for x
    x = 313,921,033.46/25,678.77
  6. Step 6: Final answer
    x = 12,224.92

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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.