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Finding the Fourth Proportional to 16,993.65, 25,478.56 and 6,464.28

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Solution

The fourth proportional to 16,993.65, 25,478.56 and 6,464.28 is: 9,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,993.65 : 25,478.56 = 6,464.28 : x
  2. Step 2: Convert to fraction form
    16,993.65/25,478.56 = 6,464.28/x
  3. Step 3: Cross multiply
    16,993.65x = 25,478.56 × 6,464.28
  4. Step 4: Simplify right side
    16,993.65x = 164,700,545.84
  5. Step 5: Solve for x
    x = 164,700,545.84/16,993.65
  6. Step 6: Final answer
    x = 9,691.89

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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.