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Finding the Fourth Proportional to 23,198.77, 34,801.70 and 8,411.14

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Solution

The fourth proportional to 23,198.77, 34,801.70 and 8,411.14 is: 12,617.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.77 : 34,801.70 = 8,411.14 : x
  2. Step 2: Convert to fraction form
    23,198.77/34,801.70 = 8,411.14/x
  3. Step 3: Cross multiply
    23,198.77x = 34,801.70 × 8,411.14
  4. Step 4: Simplify right side
    23,198.77x = 292,721,841.88
  5. Step 5: Solve for x
    x = 292,721,841.88/23,198.77
  6. Step 6: Final answer
    x = 12,617.99

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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.