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Finding the Fourth Proportional to 23,102.39, 34,657.86 and 7,311.40

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Solution

The fourth proportional to 23,102.39, 34,657.86 and 7,311.40 is: 10,968.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102.39 : 34,657.86 = 7,311.40 : x
  2. Step 2: Convert to fraction form
    23,102.39/34,657.86 = 7,311.40/x
  3. Step 3: Cross multiply
    23,102.39x = 34,657.86 × 7,311.40
  4. Step 4: Simplify right side
    23,102.39x = 253,397,441.05
  5. Step 5: Solve for x
    x = 253,397,441.05/23,102.39
  6. Step 6: Final answer
    x = 10,968.45

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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.