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Finding the Fourth Proportional to 12,667.52, 17,464.78 and 8,681.50

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Solution

The fourth proportional to 12,667.52, 17,464.78 and 8,681.50 is: 11,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,667.52 : 17,464.78 = 8,681.50 : x
  2. Step 2: Convert to fraction form
    12,667.52/17,464.78 = 8,681.50/x
  3. Step 3: Cross multiply
    12,667.52x = 17,464.78 × 8,681.50
  4. Step 4: Simplify right side
    12,667.52x = 151,620,487.57
  5. Step 5: Solve for x
    x = 151,620,487.57/12,667.52
  6. Step 6: Final answer
    x = 11,969.23

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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.