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Finding the Fourth Proportional to 22,634.40, 33,937.97 and 10,152.17

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Solution

The fourth proportional to 22,634.40, 33,937.97 and 10,152.17 is: 15,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634.40 : 33,937.97 = 10,152.17 : x
  2. Step 2: Convert to fraction form
    22,634.40/33,937.97 = 10,152.17/x
  3. Step 3: Cross multiply
    22,634.40x = 33,937.97 × 10,152.17
  4. Step 4: Simplify right side
    22,634.40x = 344,543,820.44
  5. Step 5: Solve for x
    x = 344,543,820.44/22,634.40
  6. Step 6: Final answer
    x = 15,222.13

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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.