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Finding the Fourth Proportional to 24,082.78, 33,245.83 and 16,029.83

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Solution

The fourth proportional to 24,082.78, 33,245.83 and 16,029.83 is: 22,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,082.78 : 33,245.83 = 16,029.83 : x
  2. Step 2: Convert to fraction form
    24,082.78/33,245.83 = 16,029.83/x
  3. Step 3: Cross multiply
    24,082.78x = 33,245.83 × 16,029.83
  4. Step 4: Simplify right side
    24,082.78x = 532,925,003.11
  5. Step 5: Solve for x
    x = 532,925,003.11/24,082.78
  6. Step 6: Final answer
    x = 22,128.89

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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.