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Finding the Fourth Proportional to 12,514.30, 17,262.80 and 8,033.02

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Solution

The fourth proportional to 12,514.30, 17,262.80 and 8,033.02 is: 11,081.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.30 : 17,262.80 = 8,033.02 : x
  2. Step 2: Convert to fraction form
    12,514.30/17,262.80 = 8,033.02/x
  3. Step 3: Cross multiply
    12,514.30x = 17,262.80 × 8,033.02
  4. Step 4: Simplify right side
    12,514.30x = 138,672,364.46
  5. Step 5: Solve for x
    x = 138,672,364.46/12,514.30
  6. Step 6: Final answer
    x = 11,081.11

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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.