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Finding the Fourth Proportional to 24,641.29, 36,967.74 and 8,000.05

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Solution

The fourth proportional to 24,641.29, 36,967.74 and 8,000.05 is: 12,001.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,641.29 : 36,967.74 = 8,000.05 : x
  2. Step 2: Convert to fraction form
    24,641.29/36,967.74 = 8,000.05/x
  3. Step 3: Cross multiply
    24,641.29x = 36,967.74 × 8,000.05
  4. Step 4: Simplify right side
    24,641.29x = 295,743,768.39
  5. Step 5: Solve for x
    x = 295,743,768.39/24,641.29
  6. Step 6: Final answer
    x = 12,001.96

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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.