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Finding the Fourth Proportional to 24,136.38, 33,312.87 and 15,738.30

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Solution

The fourth proportional to 24,136.38, 33,312.87 and 15,738.30 is: 21,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,136.38 : 33,312.87 = 15,738.30 : x
  2. Step 2: Convert to fraction form
    24,136.38/33,312.87 = 15,738.30/x
  3. Step 3: Cross multiply
    24,136.38x = 33,312.87 × 15,738.30
  4. Step 4: Simplify right side
    24,136.38x = 524,287,941.92
  5. Step 5: Solve for x
    x = 524,287,941.92/24,136.38
  6. Step 6: Final answer
    x = 21,721.90

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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.