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Finding the Fourth Proportional to 12,514.90, 18,777.59 and 5,491.29

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Solution

The fourth proportional to 12,514.90, 18,777.59 and 5,491.29 is: 8,239.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.90 : 18,777.59 = 5,491.29 : x
  2. Step 2: Convert to fraction form
    12,514.90/18,777.59 = 5,491.29/x
  3. Step 3: Cross multiply
    12,514.90x = 18,777.59 × 5,491.29
  4. Step 4: Simplify right side
    12,514.90x = 103,113,164.73
  5. Step 5: Solve for x
    x = 103,113,164.73/12,514.90
  6. Step 6: Final answer
    x = 8,239.23

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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.