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Finding the Fourth Proportional to 12,667.32, 18,984.24 and 9,169.02

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Solution

The fourth proportional to 12,667.32, 18,984.24 and 9,169.02 is: 13,741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,667.32 : 18,984.24 = 9,169.02 : x
  2. Step 2: Convert to fraction form
    12,667.32/18,984.24 = 9,169.02/x
  3. Step 3: Cross multiply
    12,667.32x = 18,984.24 × 9,169.02
  4. Step 4: Simplify right side
    12,667.32x = 174,066,876.24
  5. Step 5: Solve for x
    x = 174,066,876.24/12,667.32
  6. Step 6: Final answer
    x = 13,741.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.