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Finding the Fourth Proportional to 28,165.82, 38,853.14 and 18,082.94

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Solution

The fourth proportional to 28,165.82, 38,853.14 and 18,082.94 is: 24,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,165.82 : 38,853.14 = 18,082.94 : x
  2. Step 2: Convert to fraction form
    28,165.82/38,853.14 = 18,082.94/x
  3. Step 3: Cross multiply
    28,165.82x = 38,853.14 × 18,082.94
  4. Step 4: Simplify right side
    28,165.82x = 702,578,714.75
  5. Step 5: Solve for x
    x = 702,578,714.75/28,165.82
  6. Step 6: Final answer
    x = 24,944.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.