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Finding the Fourth Proportional to 22,958.27, 34,432.85 and 6,314.00

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Solution

The fourth proportional to 22,958.27, 34,432.85 and 6,314.00 is: 9,469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,958.27 : 34,432.85 = 6,314.00 : x
  2. Step 2: Convert to fraction form
    22,958.27/34,432.85 = 6,314.00/x
  3. Step 3: Cross multiply
    22,958.27x = 34,432.85 × 6,314.00
  4. Step 4: Simplify right side
    22,958.27x = 217,408,811.17
  5. Step 5: Solve for x
    x = 217,408,811.17/22,958.27
  6. Step 6: Final answer
    x = 9,469.74

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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.