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Finding the Fourth Proportional to 24,188.94, 36,297.41 and 10,147.70

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Solution

The fourth proportional to 24,188.94, 36,297.41 and 10,147.70 is: 15,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,188.94 : 36,297.41 = 10,147.70 : x
  2. Step 2: Convert to fraction form
    24,188.94/36,297.41 = 10,147.70/x
  3. Step 3: Cross multiply
    24,188.94x = 36,297.41 × 10,147.70
  4. Step 4: Simplify right side
    24,188.94x = 368,335,267.46
  5. Step 5: Solve for x
    x = 368,335,267.46/24,188.94
  6. Step 6: Final answer
    x = 15,227.42

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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.