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Finding the Fourth Proportional to 23,152.92, 34,729.36 and 9,311.64

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Solution

The fourth proportional to 23,152.92, 34,729.36 and 9,311.64 is: 13,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152.92 : 34,729.36 = 9,311.64 : x
  2. Step 2: Convert to fraction form
    23,152.92/34,729.36 = 9,311.64/x
  3. Step 3: Cross multiply
    23,152.92x = 34,729.36 × 9,311.64
  4. Step 4: Simplify right side
    23,152.92x = 323,387,297.75
  5. Step 5: Solve for x
    x = 323,387,297.75/23,152.92
  6. Step 6: Final answer
    x = 13,967.45

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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.