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Finding the Fourth Proportional to 13,867.74, 19,145.96 and 9,027.09

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Solution

The fourth proportional to 13,867.74, 19,145.96 and 9,027.09 is: 12,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867.74 : 19,145.96 = 9,027.09 : x
  2. Step 2: Convert to fraction form
    13,867.74/19,145.96 = 9,027.09/x
  3. Step 3: Cross multiply
    13,867.74x = 19,145.96 × 9,027.09
  4. Step 4: Simplify right side
    13,867.74x = 172,832,304.06
  5. Step 5: Solve for x
    x = 172,832,304.06/13,867.74
  6. Step 6: Final answer
    x = 12,462.90

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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.