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Finding the Fourth Proportional to 23,120, 34,674.20 and 6,475.72

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Solution

The fourth proportional to 23,120, 34,674.20 and 6,475.72 is: 9,711.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,120 : 34,674.20 = 6,475.72 : x
  2. Step 2: Convert to fraction form
    23,120/34,674.20 = 6,475.72/x
  3. Step 3: Cross multiply
    23,120x = 34,674.20 × 6,475.72
  4. Step 4: Simplify right side
    23,120x = 224,540,410.42
  5. Step 5: Solve for x
    x = 224,540,410.42/23,120
  6. Step 6: Final answer
    x = 9,711.96

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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.