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Finding the Fourth Proportional to 23,726.87, 35,578.24 and 7,926.26

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Solution

The fourth proportional to 23,726.87, 35,578.24 and 7,926.26 is: 11,885.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,726.87 : 35,578.24 = 7,926.26 : x
  2. Step 2: Convert to fraction form
    23,726.87/35,578.24 = 7,926.26/x
  3. Step 3: Cross multiply
    23,726.87x = 35,578.24 × 7,926.26
  4. Step 4: Simplify right side
    23,726.87x = 282,002,182.88
  5. Step 5: Solve for x
    x = 282,002,182.88/23,726.87
  6. Step 6: Final answer
    x = 11,885.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.