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Finding the Fourth Proportional to 23,261.16, 34,891.56 and 7,678.74

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Solution

The fourth proportional to 23,261.16, 34,891.56 and 7,678.74 is: 11,518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,261.16 : 34,891.56 = 7,678.74 : x
  2. Step 2: Convert to fraction form
    23,261.16/34,891.56 = 7,678.74/x
  3. Step 3: Cross multiply
    23,261.16x = 34,891.56 × 7,678.74
  4. Step 4: Simplify right side
    23,261.16x = 267,923,217.43
  5. Step 5: Solve for x
    x = 267,923,217.43/23,261.16
  6. Step 6: Final answer
    x = 11,518.05

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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.