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Finding the Fourth Proportional to 28,243.38, 38,964.19 and 16,298.24

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Solution

The fourth proportional to 28,243.38, 38,964.19 and 16,298.24 is: 22,484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,243.38 : 38,964.19 = 16,298.24 : x
  2. Step 2: Convert to fraction form
    28,243.38/38,964.19 = 16,298.24/x
  3. Step 3: Cross multiply
    28,243.38x = 38,964.19 × 16,298.24
  4. Step 4: Simplify right side
    28,243.38x = 635,047,720.03
  5. Step 5: Solve for x
    x = 635,047,720.03/28,243.38
  6. Step 6: Final answer
    x = 22,484.83

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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.