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Finding the Fourth Proportional to 23,024.40, 34,531.48 and 8,234.32

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Solution

The fourth proportional to 23,024.40, 34,531.48 and 8,234.32 is: 12,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,024.40 : 34,531.48 = 8,234.32 : x
  2. Step 2: Convert to fraction form
    23,024.40/34,531.48 = 8,234.32/x
  3. Step 3: Cross multiply
    23,024.40x = 34,531.48 × 8,234.32
  4. Step 4: Simplify right side
    23,024.40x = 284,343,256.39
  5. Step 5: Solve for x
    x = 284,343,256.39/23,024.40
  6. Step 6: Final answer
    x = 12,349.65

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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.