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Finding the Fourth Proportional to 16,821.22, 23,212.16 and 10,107.13

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Solution

The fourth proportional to 16,821.22, 23,212.16 and 10,107.13 is: 13,947.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.22 : 23,212.16 = 10,107.13 : x
  2. Step 2: Convert to fraction form
    16,821.22/23,212.16 = 10,107.13/x
  3. Step 3: Cross multiply
    16,821.22x = 23,212.16 × 10,107.13
  4. Step 4: Simplify right side
    16,821.22x = 234,608,227.91
  5. Step 5: Solve for x
    x = 234,608,227.91/16,821.22
  6. Step 6: Final answer
    x = 13,947.16

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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.