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Finding the Fourth Proportional to 11,824.86, 17,744.20 and 6,564.30

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Solution

The fourth proportional to 11,824.86, 17,744.20 and 6,564.30 is: 9,850.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.86 : 17,744.20 = 6,564.30 : x
  2. Step 2: Convert to fraction form
    11,824.86/17,744.20 = 6,564.30/x
  3. Step 3: Cross multiply
    11,824.86x = 17,744.20 × 6,564.30
  4. Step 4: Simplify right side
    11,824.86x = 116,478,252.06
  5. Step 5: Solve for x
    x = 116,478,252.06/11,824.86
  6. Step 6: Final answer
    x = 9,850.29

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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.