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Finding the Fourth Proportional to 13,535.90, 18,667.43 and 8,500.59

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Solution

The fourth proportional to 13,535.90, 18,667.43 and 8,500.59 is: 11,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.90 : 18,667.43 = 8,500.59 : x
  2. Step 2: Convert to fraction form
    13,535.90/18,667.43 = 8,500.59/x
  3. Step 3: Cross multiply
    13,535.90x = 18,667.43 × 8,500.59
  4. Step 4: Simplify right side
    13,535.90x = 158,684,126.28
  5. Step 5: Solve for x
    x = 158,684,126.28/13,535.90
  6. Step 6: Final answer
    x = 11,723.21

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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.