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Finding the Fourth Proportional to 24,642.36, 36,982.71 and 17,198.46

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Solution

The fourth proportional to 24,642.36, 36,982.71 and 17,198.46 is: 25,811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642.36 : 36,982.71 = 17,198.46 : x
  2. Step 2: Convert to fraction form
    24,642.36/36,982.71 = 17,198.46/x
  3. Step 3: Cross multiply
    24,642.36x = 36,982.71 × 17,198.46
  4. Step 4: Simplify right side
    24,642.36x = 636,045,658.63
  5. Step 5: Solve for x
    x = 636,045,658.63/24,642.36
  6. Step 6: Final answer
    x = 25,811.07

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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.