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Finding the Fourth Proportional to 12,818.32, 17,694.06 and 7,514.86

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Solution

The fourth proportional to 12,818.32, 17,694.06 and 7,514.86 is: 10,373.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.32 : 17,694.06 = 7,514.86 : x
  2. Step 2: Convert to fraction form
    12,818.32/17,694.06 = 7,514.86/x
  3. Step 3: Cross multiply
    12,818.32x = 17,694.06 × 7,514.86
  4. Step 4: Simplify right side
    12,818.32x = 132,968,383.73
  5. Step 5: Solve for x
    x = 132,968,383.73/12,818.32
  6. Step 6: Final answer
    x = 10,373.31

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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.