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Finding the Fourth Proportional to 23,891.39, 32,974.19 and 13,825.99

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Solution

The fourth proportional to 23,891.39, 32,974.19 and 13,825.99 is: 19,082.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,891.39 : 32,974.19 = 13,825.99 : x
  2. Step 2: Convert to fraction form
    23,891.39/32,974.19 = 13,825.99/x
  3. Step 3: Cross multiply
    23,891.39x = 32,974.19 × 13,825.99
  4. Step 4: Simplify right side
    23,891.39x = 455,900,845.13
  5. Step 5: Solve for x
    x = 455,900,845.13/23,891.39
  6. Step 6: Final answer
    x = 19,082.22

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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.