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Finding the Fourth Proportional to 24,771, 37,162.26 and 8,355

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Solution

The fourth proportional to 24,771, 37,162.26 and 8,355 is: 12,534.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,771 : 37,162.26 = 8,355 : x
  2. Step 2: Convert to fraction form
    24,771/37,162.26 = 8,355/x
  3. Step 3: Cross multiply
    24,771x = 37,162.26 × 8,355
  4. Step 4: Simplify right side
    24,771x = 310,490,682.30
  5. Step 5: Solve for x
    x = 310,490,682.30/24,771
  6. Step 6: Final answer
    x = 12,534.44

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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.