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Finding the Fourth Proportional to 23,109.44, 31,891.04 and 12,499.16

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Solution

The fourth proportional to 23,109.44, 31,891.04 and 12,499.16 is: 17,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,109.44 : 31,891.04 = 12,499.16 : x
  2. Step 2: Convert to fraction form
    23,109.44/31,891.04 = 12,499.16/x
  3. Step 3: Cross multiply
    23,109.44x = 31,891.04 × 12,499.16
  4. Step 4: Simplify right side
    23,109.44x = 398,611,211.53
  5. Step 5: Solve for x
    x = 398,611,211.53/23,109.44
  6. Step 6: Final answer
    x = 17,248.85

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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.