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Finding the Fourth Proportional to 13,869, 19,139.28 and 7,581.36

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Solution

The fourth proportional to 13,869, 19,139.28 and 7,581.36 is: 10,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869 : 19,139.28 = 7,581.36 : x
  2. Step 2: Convert to fraction form
    13,869/19,139.28 = 7,581.36/x
  3. Step 3: Cross multiply
    13,869x = 19,139.28 × 7,581.36
  4. Step 4: Simplify right side
    13,869x = 145,101,771.82
  5. Step 5: Solve for x
    x = 145,101,771.82/13,869
  6. Step 6: Final answer
    x = 10,462.31

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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.