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Finding the Fourth Proportional to 23,634.41, 35,455.14 and 8,642.29

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Solution

The fourth proportional to 23,634.41, 35,455.14 and 8,642.29 is: 12,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634.41 : 35,455.14 = 8,642.29 : x
  2. Step 2: Convert to fraction form
    23,634.41/35,455.14 = 8,642.29/x
  3. Step 3: Cross multiply
    23,634.41x = 35,455.14 × 8,642.29
  4. Step 4: Simplify right side
    23,634.41x = 306,413,601.87
  5. Step 5: Solve for x
    x = 306,413,601.87/23,634.41
  6. Step 6: Final answer
    x = 12,964.72

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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.