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Finding the Fourth Proportional to 13,214.24, 18,232.80 and 7,622

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Solution

The fourth proportional to 13,214.24, 18,232.80 and 7,622 is: 10,516.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.24 : 18,232.80 = 7,622 : x
  2. Step 2: Convert to fraction form
    13,214.24/18,232.80 = 7,622/x
  3. Step 3: Cross multiply
    13,214.24x = 18,232.80 × 7,622
  4. Step 4: Simplify right side
    13,214.24x = 138,970,401.60
  5. Step 5: Solve for x
    x = 138,970,401.60/13,214.24
  6. Step 6: Final answer
    x = 10,516.72

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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.