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Finding the Fourth Proportional to 13,331.16, 18,396.98 and 7,667

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Solution

The fourth proportional to 13,331.16, 18,396.98 and 7,667 is: 10,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,331.16 : 18,396.98 = 7,667 : x
  2. Step 2: Convert to fraction form
    13,331.16/18,396.98 = 7,667/x
  3. Step 3: Cross multiply
    13,331.16x = 18,396.98 × 7,667
  4. Step 4: Simplify right side
    13,331.16x = 141,049,645.66
  5. Step 5: Solve for x
    x = 141,049,645.66/13,331.16
  6. Step 6: Final answer
    x = 10,580.45

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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.