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Finding the Fourth Proportional to 23,086.08, 34,634.88 and 9,234.72

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Solution

The fourth proportional to 23,086.08, 34,634.88 and 9,234.72 is: 13,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,086.08 : 34,634.88 = 9,234.72 : x
  2. Step 2: Convert to fraction form
    23,086.08/34,634.88 = 9,234.72/x
  3. Step 3: Cross multiply
    23,086.08x = 34,634.88 × 9,234.72
  4. Step 4: Simplify right side
    23,086.08x = 319,843,419.03
  5. Step 5: Solve for x
    x = 319,843,419.03/23,086.08
  6. Step 6: Final answer
    x = 13,854.38

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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.