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Finding the Fourth Proportional to 13,348.82, 18,422.46 and 7,381.64

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Solution

The fourth proportional to 13,348.82, 18,422.46 and 7,381.64 is: 10,187.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,348.82 : 18,422.46 = 7,381.64 : x
  2. Step 2: Convert to fraction form
    13,348.82/18,422.46 = 7,381.64/x
  3. Step 3: Cross multiply
    13,348.82x = 18,422.46 × 7,381.64
  4. Step 4: Simplify right side
    13,348.82x = 135,987,875.52
  5. Step 5: Solve for x
    x = 135,987,875.52/13,348.82
  6. Step 6: Final answer
    x = 10,187.26

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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.