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Finding the Fourth Proportional to 16,222.97, 22,389.28 and 9,848.09

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Solution

The fourth proportional to 16,222.97, 22,389.28 and 9,848.09 is: 13,591.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.97 : 22,389.28 = 9,848.09 : x
  2. Step 2: Convert to fraction form
    16,222.97/22,389.28 = 9,848.09/x
  3. Step 3: Cross multiply
    16,222.97x = 22,389.28 × 9,848.09
  4. Step 4: Simplify right side
    16,222.97x = 220,491,675.83
  5. Step 5: Solve for x
    x = 220,491,675.83/16,222.97
  6. Step 6: Final answer
    x = 13,591.32

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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.