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Finding the Fourth Proportional to 24,200.78, 33,397.11 and 13,590.38

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Solution

The fourth proportional to 24,200.78, 33,397.11 and 13,590.38 is: 18,754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,200.78 : 33,397.11 = 13,590.38 : x
  2. Step 2: Convert to fraction form
    24,200.78/33,397.11 = 13,590.38/x
  3. Step 3: Cross multiply
    24,200.78x = 33,397.11 × 13,590.38
  4. Step 4: Simplify right side
    24,200.78x = 453,879,499.29
  5. Step 5: Solve for x
    x = 453,879,499.29/24,200.78
  6. Step 6: Final answer
    x = 18,754.75

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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.