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Finding the Fourth Proportional to 23,024.70, 34,537.05 and 8,234.10

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Solution

The fourth proportional to 23,024.70, 34,537.05 and 8,234.10 is: 12,351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,024.70 : 34,537.05 = 8,234.10 : x
  2. Step 2: Convert to fraction form
    23,024.70/34,537.05 = 8,234.10/x
  3. Step 3: Cross multiply
    23,024.70x = 34,537.05 × 8,234.10
  4. Step 4: Simplify right side
    23,024.70x = 284,381,523.41
  5. Step 5: Solve for x
    x = 284,381,523.41/23,024.70
  6. Step 6: Final answer
    x = 12,351.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.