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Finding the Fourth Proportional to 13,350, 18,422.28 and 7,381.32

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Solution

The fourth proportional to 13,350, 18,422.28 and 7,381.32 is: 10,185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,350 : 18,422.28 = 7,381.32 : x
  2. Step 2: Convert to fraction form
    13,350/18,422.28 = 7,381.32/x
  3. Step 3: Cross multiply
    13,350x = 18,422.28 × 7,381.32
  4. Step 4: Simplify right side
    13,350x = 135,980,743.81
  5. Step 5: Solve for x
    x = 135,980,743.81/13,350
  6. Step 6: Final answer
    x = 10,185.82

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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.