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Finding the Fourth Proportional to 12,182.22, 18,271.81 and 3,417.82

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Solution

The fourth proportional to 12,182.22, 18,271.81 and 3,417.82 is: 5,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.22 : 18,271.81 = 3,417.82 : x
  2. Step 2: Convert to fraction form
    12,182.22/18,271.81 = 3,417.82/x
  3. Step 3: Cross multiply
    12,182.22x = 18,271.81 × 3,417.82
  4. Step 4: Simplify right side
    12,182.22x = 62,449,757.65
  5. Step 5: Solve for x
    x = 62,449,757.65/12,182.22
  6. Step 6: Final answer
    x = 5,126.30

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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.