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Finding the Fourth Proportional to 23,926.34, 35,891.90 and 9,147.69

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Solution

The fourth proportional to 23,926.34, 35,891.90 and 9,147.69 is: 13,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,926.34 : 35,891.90 = 9,147.69 : x
  2. Step 2: Convert to fraction form
    23,926.34/35,891.90 = 9,147.69/x
  3. Step 3: Cross multiply
    23,926.34x = 35,891.90 × 9,147.69
  4. Step 4: Simplify right side
    23,926.34x = 328,327,974.71
  5. Step 5: Solve for x
    x = 328,327,974.71/23,926.34
  6. Step 6: Final answer
    x = 13,722.45

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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.