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Finding the Fourth Proportional to 22,105.77, 30,505.03 and 12,034

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Solution

The fourth proportional to 22,105.77, 30,505.03 and 12,034 is: 16,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,105.77 : 30,505.03 = 12,034 : x
  2. Step 2: Convert to fraction form
    22,105.77/30,505.03 = 12,034/x
  3. Step 3: Cross multiply
    22,105.77x = 30,505.03 × 12,034
  4. Step 4: Simplify right side
    22,105.77x = 367,097,531.02
  5. Step 5: Solve for x
    x = 367,097,531.02/22,105.77
  6. Step 6: Final answer
    x = 16,606.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.