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Finding the Fourth Proportional to 24,645.82, 36,981.15 and 9,859

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Solution

The fourth proportional to 24,645.82, 36,981.15 and 9,859 is: 14,793.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,645.82 : 36,981.15 = 9,859 : x
  2. Step 2: Convert to fraction form
    24,645.82/36,981.15 = 9,859/x
  3. Step 3: Cross multiply
    24,645.82x = 36,981.15 × 9,859
  4. Step 4: Simplify right side
    24,645.82x = 364,597,157.85
  5. Step 5: Solve for x
    x = 364,597,157.85/24,645.82
  6. Step 6: Final answer
    x = 14,793.47

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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.