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Finding the Fourth Proportional to 13,204.36, 18,220.98 and 7,614.28

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Solution

The fourth proportional to 13,204.36, 18,220.98 and 7,614.28 is: 10,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.36 : 18,220.98 = 7,614.28 : x
  2. Step 2: Convert to fraction form
    13,204.36/18,220.98 = 7,614.28/x
  3. Step 3: Cross multiply
    13,204.36x = 18,220.98 × 7,614.28
  4. Step 4: Simplify right side
    13,204.36x = 138,739,643.59
  5. Step 5: Solve for x
    x = 138,739,643.59/13,204.36
  6. Step 6: Final answer
    x = 10,507.11

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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.