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Finding the Fourth Proportional to 24,257.97, 36,386.95 and 6,727.80

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Solution

The fourth proportional to 24,257.97, 36,386.95 and 6,727.80 is: 10,091.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257.97 : 36,386.95 = 6,727.80 : x
  2. Step 2: Convert to fraction form
    24,257.97/36,386.95 = 6,727.80/x
  3. Step 3: Cross multiply
    24,257.97x = 36,386.95 × 6,727.80
  4. Step 4: Simplify right side
    24,257.97x = 244,804,122.21
  5. Step 5: Solve for x
    x = 244,804,122.21/24,257.97
  6. Step 6: Final answer
    x = 10,091.70

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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.