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Finding the Fourth Proportional to 13,667.27, 18,866.12 and 10,684.06

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Solution

The fourth proportional to 13,667.27, 18,866.12 and 10,684.06 is: 14,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667.27 : 18,866.12 = 10,684.06 : x
  2. Step 2: Convert to fraction form
    13,667.27/18,866.12 = 10,684.06/x
  3. Step 3: Cross multiply
    13,667.27x = 18,866.12 × 10,684.06
  4. Step 4: Simplify right side
    13,667.27x = 201,566,857.72
  5. Step 5: Solve for x
    x = 201,566,857.72/13,667.27
  6. Step 6: Final answer
    x = 14,748.14

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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.