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Finding the Fourth Proportional to 23,198.65, 32,013.79 and 13,639.61

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Solution

The fourth proportional to 23,198.65, 32,013.79 and 13,639.61 is: 18,822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.65 : 32,013.79 = 13,639.61 : x
  2. Step 2: Convert to fraction form
    23,198.65/32,013.79 = 13,639.61/x
  3. Step 3: Cross multiply
    23,198.65x = 32,013.79 × 13,639.61
  4. Step 4: Simplify right side
    23,198.65x = 436,655,707.31
  5. Step 5: Solve for x
    x = 436,655,707.31/23,198.65
  6. Step 6: Final answer
    x = 18,822.46

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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.