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Finding the Fourth Proportional to 13,781.90, 19,019.46 and 7,494.27

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Solution

The fourth proportional to 13,781.90, 19,019.46 and 7,494.27 is: 10,342.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.90 : 19,019.46 = 7,494.27 : x
  2. Step 2: Convert to fraction form
    13,781.90/19,019.46 = 7,494.27/x
  3. Step 3: Cross multiply
    13,781.90x = 19,019.46 × 7,494.27
  4. Step 4: Simplify right side
    13,781.90x = 142,536,968.49
  5. Step 5: Solve for x
    x = 142,536,968.49/13,781.90
  6. Step 6: Final answer
    x = 10,342.33

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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.