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Finding the Fourth Proportional to 16,315.92, 24,473.25 and 5,222.30

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Solution

The fourth proportional to 16,315.92, 24,473.25 and 5,222.30 is: 7,833.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,315.92 : 24,473.25 = 5,222.30 : x
  2. Step 2: Convert to fraction form
    16,315.92/24,473.25 = 5,222.30/x
  3. Step 3: Cross multiply
    16,315.92x = 24,473.25 × 5,222.30
  4. Step 4: Simplify right side
    16,315.92x = 127,806,531.11
  5. Step 5: Solve for x
    x = 127,806,531.11/16,315.92
  6. Step 6: Final answer
    x = 7,833.24

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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.