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Finding the Fourth Proportional to 10,514.66, 15,687.18 and 10,131.80

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Solution

The fourth proportional to 10,514.66, 15,687.18 and 10,131.80 is: 15,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.66 : 15,687.18 = 10,131.80 : x
  2. Step 2: Convert to fraction form
    10,514.66/15,687.18 = 10,131.80/x
  3. Step 3: Cross multiply
    10,514.66x = 15,687.18 × 10,131.80
  4. Step 4: Simplify right side
    10,514.66x = 158,939,291.89
  5. Step 5: Solve for x
    x = 158,939,291.89/10,514.66
  6. Step 6: Final answer
    x = 15,115.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.