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Finding the Fourth Proportional to 24,747.09, 34,152.79 and 14,136.49

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Solution

The fourth proportional to 24,747.09, 34,152.79 and 14,136.49 is: 19,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,747.09 : 34,152.79 = 14,136.49 : x
  2. Step 2: Convert to fraction form
    24,747.09/34,152.79 = 14,136.49/x
  3. Step 3: Cross multiply
    24,747.09x = 34,152.79 × 14,136.49
  4. Step 4: Simplify right side
    24,747.09x = 482,800,608.16
  5. Step 5: Solve for x
    x = 482,800,608.16/24,747.09
  6. Step 6: Final answer
    x = 19,509.39

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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.