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Finding the Fourth Proportional to 29,514.87, 40,729.33 and 16,085.84

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Solution

The fourth proportional to 29,514.87, 40,729.33 and 16,085.84 is: 22,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,514.87 : 40,729.33 = 16,085.84 : x
  2. Step 2: Convert to fraction form
    29,514.87/40,729.33 = 16,085.84/x
  3. Step 3: Cross multiply
    29,514.87x = 40,729.33 × 16,085.84
  4. Step 4: Simplify right side
    29,514.87x = 655,165,424.08
  5. Step 5: Solve for x
    x = 655,165,424.08/29,514.87
  6. Step 6: Final answer
    x = 22,197.81

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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.