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Finding the Fourth Proportional to 16,020.75, 22,108.64 and 8,947.17

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Solution

The fourth proportional to 16,020.75, 22,108.64 and 8,947.17 is: 12,347.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,020.75 : 22,108.64 = 8,947.17 : x
  2. Step 2: Convert to fraction form
    16,020.75/22,108.64 = 8,947.17/x
  3. Step 3: Cross multiply
    16,020.75x = 22,108.64 × 8,947.17
  4. Step 4: Simplify right side
    16,020.75x = 197,809,715.81
  5. Step 5: Solve for x
    x = 197,809,715.81/16,020.75
  6. Step 6: Final answer
    x = 12,347.09

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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.