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Finding the Fourth Proportional to 18,565.30, 27,822.68 and 10,232.83

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Solution

The fourth proportional to 18,565.30, 27,822.68 and 10,232.83 is: 15,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,565.30 : 27,822.68 = 10,232.83 : x
  2. Step 2: Convert to fraction form
    18,565.30/27,822.68 = 10,232.83/x
  3. Step 3: Cross multiply
    18,565.30x = 27,822.68 × 10,232.83
  4. Step 4: Simplify right side
    18,565.30x = 284,704,754.58
  5. Step 5: Solve for x
    x = 284,704,754.58/18,565.30
  6. Step 6: Final answer
    x = 15,335.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.