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Finding the Fourth Proportional to 22,202.77, 30,635.71 and 12,642.09

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Solution

The fourth proportional to 22,202.77, 30,635.71 and 12,642.09 is: 17,443.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,202.77 : 30,635.71 = 12,642.09 : x
  2. Step 2: Convert to fraction form
    22,202.77/30,635.71 = 12,642.09/x
  3. Step 3: Cross multiply
    22,202.77x = 30,635.71 × 12,642.09
  4. Step 4: Simplify right side
    22,202.77x = 387,299,403.03
  5. Step 5: Solve for x
    x = 387,299,403.03/22,202.77
  6. Step 6: Final answer
    x = 17,443.74

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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.