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Finding the Fourth Proportional to 13,713.82, 18,923.97 and 7,746.07

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Solution

The fourth proportional to 13,713.82, 18,923.97 and 7,746.07 is: 10,688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.82 : 18,923.97 = 7,746.07 : x
  2. Step 2: Convert to fraction form
    13,713.82/18,923.97 = 7,746.07/x
  3. Step 3: Cross multiply
    13,713.82x = 18,923.97 × 7,746.07
  4. Step 4: Simplify right side
    13,713.82x = 146,586,396.30
  5. Step 5: Solve for x
    x = 146,586,396.30/13,713.82
  6. Step 6: Final answer
    x = 10,688.95

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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.