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Finding the Fourth Proportional to 23,186.95, 31,998.17 and 12,576.58

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Solution

The fourth proportional to 23,186.95, 31,998.17 and 12,576.58 is: 17,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,186.95 : 31,998.17 = 12,576.58 : x
  2. Step 2: Convert to fraction form
    23,186.95/31,998.17 = 12,576.58/x
  3. Step 3: Cross multiply
    23,186.95x = 31,998.17 × 12,576.58
  4. Step 4: Simplify right side
    23,186.95x = 402,427,544.86
  5. Step 5: Solve for x
    x = 402,427,544.86/23,186.95
  6. Step 6: Final answer
    x = 17,355.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.