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Finding the Fourth Proportional to 23,104.32, 31,883.96 and 12,493.95

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Solution

The fourth proportional to 23,104.32, 31,883.96 and 12,493.95 is: 17,241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,104.32 : 31,883.96 = 12,493.95 : x
  2. Step 2: Convert to fraction form
    23,104.32/31,883.96 = 12,493.95/x
  3. Step 3: Cross multiply
    23,104.32x = 31,883.96 × 12,493.95
  4. Step 4: Simplify right side
    23,104.32x = 398,356,602.04
  5. Step 5: Solve for x
    x = 398,356,602.04/23,104.32
  6. Step 6: Final answer
    x = 17,241.65

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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.