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Finding the Fourth Proportional to 17,638.66, 24,341.81 and 10,086.22

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Solution

The fourth proportional to 17,638.66, 24,341.81 and 10,086.22 is: 13,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.66 : 24,341.81 = 10,086.22 : x
  2. Step 2: Convert to fraction form
    17,638.66/24,341.81 = 10,086.22/x
  3. Step 3: Cross multiply
    17,638.66x = 24,341.81 × 10,086.22
  4. Step 4: Simplify right side
    17,638.66x = 245,516,850.86
  5. Step 5: Solve for x
    x = 245,516,850.86/17,638.66
  6. Step 6: Final answer
    x = 13,919.25

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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.