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Finding the Fourth Proportional to 23,312.41, 34,972.06 and 8,517.87

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Solution

The fourth proportional to 23,312.41, 34,972.06 and 8,517.87 is: 12,778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,312.41 : 34,972.06 = 8,517.87 : x
  2. Step 2: Convert to fraction form
    23,312.41/34,972.06 = 8,517.87/x
  3. Step 3: Cross multiply
    23,312.41x = 34,972.06 × 8,517.87
  4. Step 4: Simplify right side
    23,312.41x = 297,887,460.71
  5. Step 5: Solve for x
    x = 297,887,460.71/23,312.41
  6. Step 6: Final answer
    x = 12,778.06

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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.