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Finding the Fourth Proportional to 26,136, 36,097.38 and 17,737.92

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Solution

The fourth proportional to 26,136, 36,097.38 and 17,737.92 is: 24,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,136 : 36,097.38 = 17,737.92 : x
  2. Step 2: Convert to fraction form
    26,136/36,097.38 = 17,737.92/x
  3. Step 3: Cross multiply
    26,136x = 36,097.38 × 17,737.92
  4. Step 4: Simplify right side
    26,136x = 640,292,438.65
  5. Step 5: Solve for x
    x = 640,292,438.65/26,136
  6. Step 6: Final answer
    x = 24,498.49

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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.