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Finding the Fourth Proportional to 13,199.87, 18,215.64 and 7,231.17

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Solution

The fourth proportional to 13,199.87, 18,215.64 and 7,231.17 is: 9,978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,199.87 : 18,215.64 = 7,231.17 : x
  2. Step 2: Convert to fraction form
    13,199.87/18,215.64 = 7,231.17/x
  3. Step 3: Cross multiply
    13,199.87x = 18,215.64 × 7,231.17
  4. Step 4: Simplify right side
    13,199.87x = 131,720,389.50
  5. Step 5: Solve for x
    x = 131,720,389.50/13,199.87
  6. Step 6: Final answer
    x = 9,978.92

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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.