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Finding the Fourth Proportional to 22,153.15, 33,233.93 and 7,164.30

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Solution

The fourth proportional to 22,153.15, 33,233.93 and 7,164.30 is: 10,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,153.15 : 33,233.93 = 7,164.30 : x
  2. Step 2: Convert to fraction form
    22,153.15/33,233.93 = 7,164.30/x
  3. Step 3: Cross multiply
    22,153.15x = 33,233.93 × 7,164.30
  4. Step 4: Simplify right side
    22,153.15x = 238,097,844.70
  5. Step 5: Solve for x
    x = 238,097,844.70/22,153.15
  6. Step 6: Final answer
    x = 10,747.81

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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.