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Finding the Fourth Proportional to 13,844.96, 19,109.16 and 9,062.14

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Solution

The fourth proportional to 13,844.96, 19,109.16 and 9,062.14 is: 12,507.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,844.96 : 19,109.16 = 9,062.14 : x
  2. Step 2: Convert to fraction form
    13,844.96/19,109.16 = 9,062.14/x
  3. Step 3: Cross multiply
    13,844.96x = 19,109.16 × 9,062.14
  4. Step 4: Simplify right side
    13,844.96x = 173,169,883.20
  5. Step 5: Solve for x
    x = 173,169,883.20/13,844.96
  6. Step 6: Final answer
    x = 12,507.79

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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.