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Finding the Fourth Proportional to 23,568.15, 32,509.57 and 16,842.17

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Solution

The fourth proportional to 23,568.15, 32,509.57 and 16,842.17 is: 23,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,568.15 : 32,509.57 = 16,842.17 : x
  2. Step 2: Convert to fraction form
    23,568.15/32,509.57 = 16,842.17/x
  3. Step 3: Cross multiply
    23,568.15x = 32,509.57 × 16,842.17
  4. Step 4: Simplify right side
    23,568.15x = 547,531,704.57
  5. Step 5: Solve for x
    x = 547,531,704.57/23,568.15
  6. Step 6: Final answer
    x = 23,231.85

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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.