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Finding the Fourth Proportional to 23,138.60, 34,707.90 and 8,349.80

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Solution

The fourth proportional to 23,138.60, 34,707.90 and 8,349.80 is: 12,524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,138.60 : 34,707.90 = 8,349.80 : x
  2. Step 2: Convert to fraction form
    23,138.60/34,707.90 = 8,349.80/x
  3. Step 3: Cross multiply
    23,138.60x = 34,707.90 × 8,349.80
  4. Step 4: Simplify right side
    23,138.60x = 289,804,023.42
  5. Step 5: Solve for x
    x = 289,804,023.42/23,138.60
  6. Step 6: Final answer
    x = 12,524.70

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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.