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Finding the Fourth Proportional to 12,417.29, 18,629.03 and 4,097.78

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Solution

The fourth proportional to 12,417.29, 18,629.03 and 4,097.78 is: 6,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.29 : 18,629.03 = 4,097.78 : x
  2. Step 2: Convert to fraction form
    12,417.29/18,629.03 = 4,097.78/x
  3. Step 3: Cross multiply
    12,417.29x = 18,629.03 × 4,097.78
  4. Step 4: Simplify right side
    12,417.29x = 76,337,583.65
  5. Step 5: Solve for x
    x = 76,337,583.65/12,417.29
  6. Step 6: Final answer
    x = 6,147.69

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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.