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Finding the Fourth Proportional to 16,205.97, 22,339.75 and 12,663.03

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Solution

The fourth proportional to 16,205.97, 22,339.75 and 12,663.03 is: 17,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.97 : 22,339.75 = 12,663.03 : x
  2. Step 2: Convert to fraction form
    16,205.97/22,339.75 = 12,663.03/x
  3. Step 3: Cross multiply
    16,205.97x = 22,339.75 × 12,663.03
  4. Step 4: Simplify right side
    16,205.97x = 282,889,000.30
  5. Step 5: Solve for x
    x = 282,889,000.30/16,205.97
  6. Step 6: Final answer
    x = 17,455.85

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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.