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Finding the Fourth Proportional to 23,179.10, 34,747.86 and 8,384.54

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Solution

The fourth proportional to 23,179.10, 34,747.86 and 8,384.54 is: 12,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,179.10 : 34,747.86 = 8,384.54 : x
  2. Step 2: Convert to fraction form
    23,179.10/34,747.86 = 8,384.54/x
  3. Step 3: Cross multiply
    23,179.10x = 34,747.86 × 8,384.54
  4. Step 4: Simplify right side
    23,179.10x = 291,344,822.08
  5. Step 5: Solve for x
    x = 291,344,822.08/23,179.10
  6. Step 6: Final answer
    x = 12,569.29

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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.