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Finding the Fourth Proportional to 12,202.36, 18,259.80 and 10,564.56

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Solution

The fourth proportional to 12,202.36, 18,259.80 and 10,564.56 is: 15,808.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.36 : 18,259.80 = 10,564.56 : x
  2. Step 2: Convert to fraction form
    12,202.36/18,259.80 = 10,564.56/x
  3. Step 3: Cross multiply
    12,202.36x = 18,259.80 × 10,564.56
  4. Step 4: Simplify right side
    12,202.36x = 192,906,752.69
  5. Step 5: Solve for x
    x = 192,906,752.69/12,202.36
  6. Step 6: Final answer
    x = 15,808.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.