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Finding the Fourth Proportional to 24,378.70, 33,640.86 and 14,307.55

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Solution

The fourth proportional to 24,378.70, 33,640.86 and 14,307.55 is: 19,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378.70 : 33,640.86 = 14,307.55 : x
  2. Step 2: Convert to fraction form
    24,378.70/33,640.86 = 14,307.55/x
  3. Step 3: Cross multiply
    24,378.70x = 33,640.86 × 14,307.55
  4. Step 4: Simplify right side
    24,378.70x = 481,318,286.49
  5. Step 5: Solve for x
    x = 481,318,286.49/24,378.70
  6. Step 6: Final answer
    x = 19,743.39

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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.