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Finding the Fourth Proportional to 16,110.50, 22,232.49 and 9,824.18

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Solution

The fourth proportional to 16,110.50, 22,232.49 and 9,824.18 is: 13,557.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,110.50 : 22,232.49 = 9,824.18 : x
  2. Step 2: Convert to fraction form
    16,110.50/22,232.49 = 9,824.18/x
  3. Step 3: Cross multiply
    16,110.50x = 22,232.49 × 9,824.18
  4. Step 4: Simplify right side
    16,110.50x = 218,415,983.61
  5. Step 5: Solve for x
    x = 218,415,983.61/16,110.50
  6. Step 6: Final answer
    x = 13,557.37

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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.