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Finding the Fourth Proportional to 24,483.38, 33,785.74 and 13,872.78

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Solution

The fourth proportional to 24,483.38, 33,785.74 and 13,872.78 is: 19,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,483.38 : 33,785.74 = 13,872.78 : x
  2. Step 2: Convert to fraction form
    24,483.38/33,785.74 = 13,872.78/x
  3. Step 3: Cross multiply
    24,483.38x = 33,785.74 × 13,872.78
  4. Step 4: Simplify right side
    24,483.38x = 468,702,138.16
  5. Step 5: Solve for x
    x = 468,702,138.16/24,483.38
  6. Step 6: Final answer
    x = 19,143.69

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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.