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Finding the Fourth Proportional to 29,514.50, 40,728.82 and 16,085.46

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Solution

The fourth proportional to 29,514.50, 40,728.82 and 16,085.46 is: 22,197.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,514.50 : 40,728.82 = 16,085.46 : x
  2. Step 2: Convert to fraction form
    29,514.50/40,728.82 = 16,085.46/x
  3. Step 3: Cross multiply
    29,514.50x = 40,728.82 × 16,085.46
  4. Step 4: Simplify right side
    29,514.50x = 655,141,724.53
  5. Step 5: Solve for x
    x = 655,141,724.53/29,514.50
  6. Step 6: Final answer
    x = 22,197.29

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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.