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Finding the Fourth Proportional to 24,189.22, 36,297.83 and 10,148

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Solution

The fourth proportional to 24,189.22, 36,297.83 and 10,148 is: 15,227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,189.22 : 36,297.83 = 10,148 : x
  2. Step 2: Convert to fraction form
    24,189.22/36,297.83 = 10,148/x
  3. Step 3: Cross multiply
    24,189.22x = 36,297.83 × 10,148
  4. Step 4: Simplify right side
    24,189.22x = 368,350,378.84
  5. Step 5: Solve for x
    x = 368,350,378.84/24,189.22
  6. Step 6: Final answer
    x = 15,227.87

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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.