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Finding the Fourth Proportional to 13,331.57, 18,399.93 and 7,665.87

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Solution

The fourth proportional to 13,331.57, 18,399.93 and 7,665.87 is: 10,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,331.57 : 18,399.93 = 7,665.87 : x
  2. Step 2: Convert to fraction form
    13,331.57/18,399.93 = 7,665.87/x
  3. Step 3: Cross multiply
    13,331.57x = 18,399.93 × 7,665.87
  4. Step 4: Simplify right side
    13,331.57x = 141,051,471.39
  5. Step 5: Solve for x
    x = 141,051,471.39/13,331.57
  6. Step 6: Final answer
    x = 10,580.26

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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.