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Finding the Fourth Proportional to 12,853.38, 19,279.92 and 5,062.26

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Solution

The fourth proportional to 12,853.38, 19,279.92 and 5,062.26 is: 7,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.38 : 19,279.92 = 5,062.26 : x
  2. Step 2: Convert to fraction form
    12,853.38/19,279.92 = 5,062.26/x
  3. Step 3: Cross multiply
    12,853.38x = 19,279.92 × 5,062.26
  4. Step 4: Simplify right side
    12,853.38x = 97,599,967.82
  5. Step 5: Solve for x
    x = 97,599,967.82/12,853.38
  6. Step 6: Final answer
    x = 7,593.33

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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.