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Finding the Fourth Proportional to 12,818.21, 17,689.80 and 7,514.73

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Solution

The fourth proportional to 12,818.21, 17,689.80 and 7,514.73 is: 10,370.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.21 : 17,689.80 = 7,514.73 : x
  2. Step 2: Convert to fraction form
    12,818.21/17,689.80 = 7,514.73/x
  3. Step 3: Cross multiply
    12,818.21x = 17,689.80 × 7,514.73
  4. Step 4: Simplify right side
    12,818.21x = 132,934,070.75
  5. Step 5: Solve for x
    x = 132,934,070.75/12,818.21
  6. Step 6: Final answer
    x = 10,370.72

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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.