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Finding the Fourth Proportional to 22,534.14, 33,806.04 and 6,740.39

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Solution

The fourth proportional to 22,534.14, 33,806.04 and 6,740.39 is: 10,112.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534.14 : 33,806.04 = 6,740.39 : x
  2. Step 2: Convert to fraction form
    22,534.14/33,806.04 = 6,740.39/x
  3. Step 3: Cross multiply
    22,534.14x = 33,806.04 × 6,740.39
  4. Step 4: Simplify right side
    22,534.14x = 227,865,978.47
  5. Step 5: Solve for x
    x = 227,865,978.47/22,534.14
  6. Step 6: Final answer
    x = 10,112.03

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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.