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Finding the Fourth Proportional to 16,298.67, 24,449.31 and 5,206.92

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Solution

The fourth proportional to 16,298.67, 24,449.31 and 5,206.92 is: 7,810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.67 : 24,449.31 = 5,206.92 : x
  2. Step 2: Convert to fraction form
    16,298.67/24,449.31 = 5,206.92/x
  3. Step 3: Cross multiply
    16,298.67x = 24,449.31 × 5,206.92
  4. Step 4: Simplify right side
    16,298.67x = 127,305,601.23
  5. Step 5: Solve for x
    x = 127,305,601.23/16,298.67
  6. Step 6: Final answer
    x = 7,810.80

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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.