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Finding the Fourth Proportional to 22,153.69, 33,234.86 and 7,164.53

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Solution

The fourth proportional to 22,153.69, 33,234.86 and 7,164.53 is: 10,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,153.69 : 33,234.86 = 7,164.53 : x
  2. Step 2: Convert to fraction form
    22,153.69/33,234.86 = 7,164.53/x
  3. Step 3: Cross multiply
    22,153.69x = 33,234.86 × 7,164.53
  4. Step 4: Simplify right side
    22,153.69x = 238,112,319.87
  5. Step 5: Solve for x
    x = 238,112,319.87/22,153.69
  6. Step 6: Final answer
    x = 10,748.20

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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.