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Finding the Fourth Proportional to 12,464.28, 17,203.23 and 7,162.74

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Solution

The fourth proportional to 12,464.28, 17,203.23 and 7,162.74 is: 9,886.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.28 : 17,203.23 = 7,162.74 : x
  2. Step 2: Convert to fraction form
    12,464.28/17,203.23 = 7,162.74/x
  3. Step 3: Cross multiply
    12,464.28x = 17,203.23 × 7,162.74
  4. Step 4: Simplify right side
    12,464.28x = 123,222,263.65
  5. Step 5: Solve for x
    x = 123,222,263.65/12,464.28
  6. Step 6: Final answer
    x = 9,886.03

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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.