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Finding the Fourth Proportional to 16,110.82, 22,232.22 and 9,738.95

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Solution

The fourth proportional to 16,110.82, 22,232.22 and 9,738.95 is: 13,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,110.82 : 22,232.22 = 9,738.95 : x
  2. Step 2: Convert to fraction form
    16,110.82/22,232.22 = 9,738.95/x
  3. Step 3: Cross multiply
    16,110.82x = 22,232.22 × 9,738.95
  4. Step 4: Simplify right side
    16,110.82x = 216,518,478.97
  5. Step 5: Solve for x
    x = 216,518,478.97/16,110.82
  6. Step 6: Final answer
    x = 13,439.32

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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.