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Finding the Fourth Proportional to 13,349.81, 18,422.64 and 7,381.33

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Solution

The fourth proportional to 13,349.81, 18,422.64 and 7,381.33 is: 10,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,349.81 : 18,422.64 = 7,381.33 : x
  2. Step 2: Convert to fraction form
    13,349.81/18,422.64 = 7,381.33/x
  3. Step 3: Cross multiply
    13,349.81x = 18,422.64 × 7,381.33
  4. Step 4: Simplify right side
    13,349.81x = 135,983,539.25
  5. Step 5: Solve for x
    x = 135,983,539.25/13,349.81
  6. Step 6: Final answer
    x = 10,186.18

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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.