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Finding the Fourth Proportional to 13,869, 19,139.22 and 7,581.42

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Solution

The fourth proportional to 13,869, 19,139.22 and 7,581.42 is: 10,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869 : 19,139.22 = 7,581.42 : x
  2. Step 2: Convert to fraction form
    13,869/19,139.22 = 7,581.42/x
  3. Step 3: Cross multiply
    13,869x = 19,139.22 × 7,581.42
  4. Step 4: Simplify right side
    13,869x = 145,102,465.29
  5. Step 5: Solve for x
    x = 145,102,465.29/13,869
  6. Step 6: Final answer
    x = 10,462.36

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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.