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Finding the Fourth Proportional to 13,844.70, 19,103.76 and 7,876.08

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Solution

The fourth proportional to 13,844.70, 19,103.76 and 7,876.08 is: 10,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,844.70 : 19,103.76 = 7,876.08 : x
  2. Step 2: Convert to fraction form
    13,844.70/19,103.76 = 7,876.08/x
  3. Step 3: Cross multiply
    13,844.70x = 19,103.76 × 7,876.08
  4. Step 4: Simplify right side
    13,844.70x = 150,462,742.06
  5. Step 5: Solve for x
    x = 150,462,742.06/13,844.70
  6. Step 6: Final answer
    x = 10,867.89

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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.