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Finding the Fourth Proportional to 13,066.54, 18,033.37 and 7,761.38

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Solution

The fourth proportional to 13,066.54, 18,033.37 and 7,761.38 is: 10,711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,066.54 : 18,033.37 = 7,761.38 : x
  2. Step 2: Convert to fraction form
    13,066.54/18,033.37 = 7,761.38/x
  3. Step 3: Cross multiply
    13,066.54x = 18,033.37 × 7,761.38
  4. Step 4: Simplify right side
    13,066.54x = 139,963,727.68
  5. Step 5: Solve for x
    x = 139,963,727.68/13,066.54
  6. Step 6: Final answer
    x = 10,711.62

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Why These Related Problems?

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