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Finding the Fourth Proportional to 24,651.46, 36,950.53 and 9,844.10

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Solution

The fourth proportional to 24,651.46, 36,950.53 and 9,844.10 is: 14,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,651.46 : 36,950.53 = 9,844.10 : x
  2. Step 2: Convert to fraction form
    24,651.46/36,950.53 = 9,844.10/x
  3. Step 3: Cross multiply
    24,651.46x = 36,950.53 × 9,844.10
  4. Step 4: Simplify right side
    24,651.46x = 363,744,712.37
  5. Step 5: Solve for x
    x = 363,744,712.37/24,651.46
  6. Step 6: Final answer
    x = 14,755.50

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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.