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Finding the Fourth Proportional to 13,924.14, 19,215.06 and 7,874.28

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Solution

The fourth proportional to 13,924.14, 19,215.06 and 7,874.28 is: 10,866.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.14 : 19,215.06 = 7,874.28 : x
  2. Step 2: Convert to fraction form
    13,924.14/19,215.06 = 7,874.28/x
  3. Step 3: Cross multiply
    13,924.14x = 19,215.06 × 7,874.28
  4. Step 4: Simplify right side
    13,924.14x = 151,304,723.29
  5. Step 5: Solve for x
    x = 151,304,723.29/13,924.14
  6. Step 6: Final answer
    x = 10,866.36

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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.