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Finding the Fourth Proportional to 23,205.24, 34,807.83 and 8,414.15

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Solution

The fourth proportional to 23,205.24, 34,807.83 and 8,414.15 is: 12,621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.24 : 34,807.83 = 8,414.15 : x
  2. Step 2: Convert to fraction form
    23,205.24/34,807.83 = 8,414.15/x
  3. Step 3: Cross multiply
    23,205.24x = 34,807.83 × 8,414.15
  4. Step 4: Simplify right side
    23,205.24x = 292,878,128.76
  5. Step 5: Solve for x
    x = 292,878,128.76/23,205.24
  6. Step 6: Final answer
    x = 12,621.21

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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.