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Finding the Fourth Proportional to 16,501.63, 22,772.30 and 8,947.96

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Solution

The fourth proportional to 16,501.63, 22,772.30 and 8,947.96 is: 12,348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,501.63 : 22,772.30 = 8,947.96 : x
  2. Step 2: Convert to fraction form
    16,501.63/22,772.30 = 8,947.96/x
  3. Step 3: Cross multiply
    16,501.63x = 22,772.30 × 8,947.96
  4. Step 4: Simplify right side
    16,501.63x = 203,765,538.02
  5. Step 5: Solve for x
    x = 203,765,538.02/16,501.63
  6. Step 6: Final answer
    x = 12,348.21

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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.