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Finding the Fourth Proportional to 13,066.62, 18,032.42 and 7,401.63

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Solution

The fourth proportional to 13,066.62, 18,032.42 and 7,401.63 is: 10,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,066.62 : 18,032.42 = 7,401.63 : x
  2. Step 2: Convert to fraction form
    13,066.62/18,032.42 = 7,401.63/x
  3. Step 3: Cross multiply
    13,066.62x = 18,032.42 × 7,401.63
  4. Step 4: Simplify right side
    13,066.62x = 133,469,285.54
  5. Step 5: Solve for x
    x = 133,469,285.54/13,066.62
  6. Step 6: Final answer
    x = 10,214.53

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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.