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Finding the Fourth Proportional to 23,667.82, 32,647.12 and 15,167.08

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Solution

The fourth proportional to 23,667.82, 32,647.12 and 15,167.08 is: 20,921.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,667.82 : 32,647.12 = 15,167.08 : x
  2. Step 2: Convert to fraction form
    23,667.82/32,647.12 = 15,167.08/x
  3. Step 3: Cross multiply
    23,667.82x = 32,647.12 × 15,167.08
  4. Step 4: Simplify right side
    23,667.82x = 495,161,480.81
  5. Step 5: Solve for x
    x = 495,161,480.81/23,667.82
  6. Step 6: Final answer
    x = 20,921.30

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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.