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Finding the Fourth Proportional to 23,850.80, 32,891.44 and 17,384.56

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Solution

The fourth proportional to 23,850.80, 32,891.44 and 17,384.56 is: 23,974.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,850.80 : 32,891.44 = 17,384.56 : x
  2. Step 2: Convert to fraction form
    23,850.80/32,891.44 = 17,384.56/x
  3. Step 3: Cross multiply
    23,850.80x = 32,891.44 × 17,384.56
  4. Step 4: Simplify right side
    23,850.80x = 571,803,212.17
  5. Step 5: Solve for x
    x = 571,803,212.17/23,850.80
  6. Step 6: Final answer
    x = 23,974.17

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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.