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Finding the Fourth Proportional to 12,466.20, 17,203.92 and 7,162.68

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Solution

The fourth proportional to 12,466.20, 17,203.92 and 7,162.68 is: 9,884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.20 : 17,203.92 = 7,162.68 : x
  2. Step 2: Convert to fraction form
    12,466.20/17,203.92 = 7,162.68/x
  3. Step 3: Cross multiply
    12,466.20x = 17,203.92 × 7,162.68
  4. Step 4: Simplify right side
    12,466.20x = 123,226,173.71
  5. Step 5: Solve for x
    x = 123,226,173.71/12,466.20
  6. Step 6: Final answer
    x = 9,884.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.