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Finding the Fourth Proportional to 23,424.59, 35,142.50 and 6,785.78

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Solution

The fourth proportional to 23,424.59, 35,142.50 and 6,785.78 is: 10,180.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,424.59 : 35,142.50 = 6,785.78 : x
  2. Step 2: Convert to fraction form
    23,424.59/35,142.50 = 6,785.78/x
  3. Step 3: Cross multiply
    23,424.59x = 35,142.50 × 6,785.78
  4. Step 4: Simplify right side
    23,424.59x = 238,469,064.01
  5. Step 5: Solve for x
    x = 238,469,064.01/23,424.59
  6. Step 6: Final answer
    x = 10,180.29

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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.