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Finding the Fourth Proportional to 16,177.28, 22,326.88 and 9,806.46

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Solution

The fourth proportional to 16,177.28, 22,326.88 and 9,806.46 is: 13,534.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177.28 : 22,326.88 = 9,806.46 : x
  2. Step 2: Convert to fraction form
    16,177.28/22,326.88 = 9,806.46/x
  3. Step 3: Cross multiply
    16,177.28x = 22,326.88 × 9,806.46
  4. Step 4: Simplify right side
    16,177.28x = 218,947,655.64
  5. Step 5: Solve for x
    x = 218,947,655.64/16,177.28
  6. Step 6: Final answer
    x = 13,534.27

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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.