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Finding the Fourth Proportional to 22,259.88, 30,716.28 and 13,309.20

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Solution

The fourth proportional to 22,259.88, 30,716.28 and 13,309.20 is: 18,365.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,259.88 : 30,716.28 = 13,309.20 : x
  2. Step 2: Convert to fraction form
    22,259.88/30,716.28 = 13,309.20/x
  3. Step 3: Cross multiply
    22,259.88x = 30,716.28 × 13,309.20
  4. Step 4: Simplify right side
    22,259.88x = 408,809,113.78
  5. Step 5: Solve for x
    x = 408,809,113.78/22,259.88
  6. Step 6: Final answer
    x = 18,365.29

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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.