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Finding the Fourth Proportional to 24,936.26, 34,412.02 and 13,758.26

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Solution

The fourth proportional to 24,936.26, 34,412.02 and 13,758.26 is: 18,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,936.26 : 34,412.02 = 13,758.26 : x
  2. Step 2: Convert to fraction form
    24,936.26/34,412.02 = 13,758.26/x
  3. Step 3: Cross multiply
    24,936.26x = 34,412.02 × 13,758.26
  4. Step 4: Simplify right side
    24,936.26x = 473,449,518.29
  5. Step 5: Solve for x
    x = 473,449,518.29/24,936.26
  6. Step 6: Final answer
    x = 18,986.39

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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.