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Finding the Fourth Proportional to 22,760.64, 34,138.56 and 7,178.40

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Solution

The fourth proportional to 22,760.64, 34,138.56 and 7,178.40 is: 10,766.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,760.64 : 34,138.56 = 7,178.40 : x
  2. Step 2: Convert to fraction form
    22,760.64/34,138.56 = 7,178.40/x
  3. Step 3: Cross multiply
    22,760.64x = 34,138.56 × 7,178.40
  4. Step 4: Simplify right side
    22,760.64x = 245,060,239.10
  5. Step 5: Solve for x
    x = 245,060,239.10/22,760.64
  6. Step 6: Final answer
    x = 10,766.84

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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.