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Finding the Fourth Proportional to 13,969.76, 19,278.26 and 7,682.12

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Solution

The fourth proportional to 13,969.76, 19,278.26 and 7,682.12 is: 10,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.76 : 19,278.26 = 7,682.12 : x
  2. Step 2: Convert to fraction form
    13,969.76/19,278.26 = 7,682.12/x
  3. Step 3: Cross multiply
    13,969.76x = 19,278.26 × 7,682.12
  4. Step 4: Simplify right side
    13,969.76x = 148,097,906.71
  5. Step 5: Solve for x
    x = 148,097,906.71/13,969.76
  6. Step 6: Final answer
    x = 10,601.32

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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.