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Finding the Fourth Proportional to 24,475.21, 33,789.78 and 16,116.01

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Solution

The fourth proportional to 24,475.21, 33,789.78 and 16,116.01 is: 22,249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,475.21 : 33,789.78 = 16,116.01 : x
  2. Step 2: Convert to fraction form
    24,475.21/33,789.78 = 16,116.01/x
  3. Step 3: Cross multiply
    24,475.21x = 33,789.78 × 16,116.01
  4. Step 4: Simplify right side
    24,475.21x = 544,556,432.38
  5. Step 5: Solve for x
    x = 544,556,432.38/24,475.21
  6. Step 6: Final answer
    x = 22,249.31

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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.