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Finding the Fourth Proportional to 13,969.62, 19,278.27 and 7,682.13

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Solution

The fourth proportional to 13,969.62, 19,278.27 and 7,682.13 is: 10,601.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.62 : 19,278.27 = 7,682.13 : x
  2. Step 2: Convert to fraction form
    13,969.62/19,278.27 = 7,682.13/x
  3. Step 3: Cross multiply
    13,969.62x = 19,278.27 × 7,682.13
  4. Step 4: Simplify right side
    13,969.62x = 148,098,176.32
  5. Step 5: Solve for x
    x = 148,098,176.32/13,969.62
  6. Step 6: Final answer
    x = 10,601.45

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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.