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Finding the Fourth Proportional to 23,109.50, 31,891.05 and 12,499.11

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Solution

The fourth proportional to 23,109.50, 31,891.05 and 12,499.11 is: 17,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,109.50 : 31,891.05 = 12,499.11 : x
  2. Step 2: Convert to fraction form
    23,109.50/31,891.05 = 12,499.11/x
  3. Step 3: Cross multiply
    23,109.50x = 31,891.05 × 12,499.11
  4. Step 4: Simplify right side
    23,109.50x = 398,609,741.97
  5. Step 5: Solve for x
    x = 398,609,741.97/23,109.50
  6. Step 6: Final answer
    x = 17,248.74

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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.