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Finding the Fourth Proportional to 17,822.80, 24,601.62 and 10,272.14

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Solution

The fourth proportional to 17,822.80, 24,601.62 and 10,272.14 is: 14,179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.80 : 24,601.62 = 10,272.14 : x
  2. Step 2: Convert to fraction form
    17,822.80/24,601.62 = 10,272.14/x
  3. Step 3: Cross multiply
    17,822.80x = 24,601.62 × 10,272.14
  4. Step 4: Simplify right side
    17,822.80x = 252,711,233.51
  5. Step 5: Solve for x
    x = 252,711,233.51/17,822.80
  6. Step 6: Final answer
    x = 14,179.10

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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.