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Finding the Fourth Proportional to 22,152.92, 33,233.57 and 7,164.06

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Solution

The fourth proportional to 22,152.92, 33,233.57 and 7,164.06 is: 10,747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,152.92 : 33,233.57 = 7,164.06 : x
  2. Step 2: Convert to fraction form
    22,152.92/33,233.57 = 7,164.06/x
  3. Step 3: Cross multiply
    22,152.92x = 33,233.57 × 7,164.06
  4. Step 4: Simplify right side
    22,152.92x = 238,087,253.67
  5. Step 5: Solve for x
    x = 238,087,253.67/22,152.92
  6. Step 6: Final answer
    x = 10,747.45

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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.