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Finding the Fourth Proportional to 13,259.87, 18,294.04 and 8,222.28

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Solution

The fourth proportional to 13,259.87, 18,294.04 and 8,222.28 is: 11,343.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,259.87 : 18,294.04 = 8,222.28 : x
  2. Step 2: Convert to fraction form
    13,259.87/18,294.04 = 8,222.28/x
  3. Step 3: Cross multiply
    13,259.87x = 18,294.04 × 8,222.28
  4. Step 4: Simplify right side
    13,259.87x = 150,418,719.21
  5. Step 5: Solve for x
    x = 150,418,719.21/13,259.87
  6. Step 6: Final answer
    x = 11,343.91

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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.