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Finding the Fourth Proportional to 12,514.85, 17,274.81 and 7,211.78

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Solution

The fourth proportional to 12,514.85, 17,274.81 and 7,211.78 is: 9,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.85 : 17,274.81 = 7,211.78 : x
  2. Step 2: Convert to fraction form
    12,514.85/17,274.81 = 7,211.78/x
  3. Step 3: Cross multiply
    12,514.85x = 17,274.81 × 7,211.78
  4. Step 4: Simplify right side
    12,514.85x = 124,582,129.26
  5. Step 5: Solve for x
    x = 124,582,129.26/12,514.85
  6. Step 6: Final answer
    x = 9,954.74

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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.