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Finding the Fourth Proportional to 13,667.71, 18,863.25 and 7,700.56

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Solution

The fourth proportional to 13,667.71, 18,863.25 and 7,700.56 is: 10,627.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667.71 : 18,863.25 = 7,700.56 : x
  2. Step 2: Convert to fraction form
    13,667.71/18,863.25 = 7,700.56/x
  3. Step 3: Cross multiply
    13,667.71x = 18,863.25 × 7,700.56
  4. Step 4: Simplify right side
    13,667.71x = 145,257,588.42
  5. Step 5: Solve for x
    x = 145,257,588.42/13,667.71
  6. Step 6: Final answer
    x = 10,627.79

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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.