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Finding the Fourth Proportional to 13,331.97, 19,993.66 and 7,411.68

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Solution

The fourth proportional to 13,331.97, 19,993.66 and 7,411.68 is: 11,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,331.97 : 19,993.66 = 7,411.68 : x
  2. Step 2: Convert to fraction form
    13,331.97/19,993.66 = 7,411.68/x
  3. Step 3: Cross multiply
    13,331.97x = 19,993.66 × 7,411.68
  4. Step 4: Simplify right side
    13,331.97x = 148,186,556.03
  5. Step 5: Solve for x
    x = 148,186,556.03/13,331.97
  6. Step 6: Final answer
    x = 11,115.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.