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Finding the Fourth Proportional to 23,187.92, 31,999.17 and 12,577.57

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Solution

The fourth proportional to 23,187.92, 31,999.17 and 12,577.57 is: 17,356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,187.92 : 31,999.17 = 12,577.57 : x
  2. Step 2: Convert to fraction form
    23,187.92/31,999.17 = 12,577.57/x
  3. Step 3: Cross multiply
    23,187.92x = 31,999.17 × 12,577.57
  4. Step 4: Simplify right side
    23,187.92x = 402,471,720.62
  5. Step 5: Solve for x
    x = 402,471,720.62/23,187.92
  6. Step 6: Final answer
    x = 17,356.95

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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.