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Finding the Fourth Proportional to 24,474.39, 36,716.09 and 10,434.39

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Solution

The fourth proportional to 24,474.39, 36,716.09 and 10,434.39 is: 15,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,474.39 : 36,716.09 = 10,434.39 : x
  2. Step 2: Convert to fraction form
    24,474.39/36,716.09 = 10,434.39/x
  3. Step 3: Cross multiply
    24,474.39x = 36,716.09 × 10,434.39
  4. Step 4: Simplify right side
    24,474.39x = 383,109,950.16
  5. Step 5: Solve for x
    x = 383,109,950.16/24,474.39
  6. Step 6: Final answer
    x = 15,653.50

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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.