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Finding the Fourth Proportional to 29,514.76, 40,729.17 and 16,085.74

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Solution

The fourth proportional to 29,514.76, 40,729.17 and 16,085.74 is: 22,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,514.76 : 40,729.17 = 16,085.74 : x
  2. Step 2: Convert to fraction form
    29,514.76/40,729.17 = 16,085.74/x
  3. Step 3: Cross multiply
    29,514.76x = 40,729.17 × 16,085.74
  4. Step 4: Simplify right side
    29,514.76x = 655,158,839.04
  5. Step 5: Solve for x
    x = 655,158,839.04/29,514.76
  6. Step 6: Final answer
    x = 22,197.67

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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.