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Finding the Fourth Proportional to 12,442.28, 17,169.54 and 6,853.28

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Solution

The fourth proportional to 12,442.28, 17,169.54 and 6,853.28 is: 9,457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.28 : 17,169.54 = 6,853.28 : x
  2. Step 2: Convert to fraction form
    12,442.28/17,169.54 = 6,853.28/x
  3. Step 3: Cross multiply
    12,442.28x = 17,169.54 × 6,853.28
  4. Step 4: Simplify right side
    12,442.28x = 117,667,665.09
  5. Step 5: Solve for x
    x = 117,667,665.09/12,442.28
  6. Step 6: Final answer
    x = 9,457.08

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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.