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Finding the Fourth Proportional to 24,312.34, 36,467.29 and 9,523.97

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Solution

The fourth proportional to 24,312.34, 36,467.29 and 9,523.97 is: 14,285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312.34 : 36,467.29 = 9,523.97 : x
  2. Step 2: Convert to fraction form
    24,312.34/36,467.29 = 9,523.97/x
  3. Step 3: Cross multiply
    24,312.34x = 36,467.29 × 9,523.97
  4. Step 4: Simplify right side
    24,312.34x = 347,313,375.94
  5. Step 5: Solve for x
    x = 347,313,375.94/24,312.34
  6. Step 6: Final answer
    x = 14,285.48

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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.