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Finding the Fourth Proportional to 30,947.67, 42,707.86 and 16,800.21

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Solution

The fourth proportional to 30,947.67, 42,707.86 and 16,800.21 is: 23,184.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,947.67 : 42,707.86 = 16,800.21 : x
  2. Step 2: Convert to fraction form
    30,947.67/42,707.86 = 16,800.21/x
  3. Step 3: Cross multiply
    30,947.67x = 42,707.86 × 16,800.21
  4. Step 4: Simplify right side
    30,947.67x = 717,500,974.65
  5. Step 5: Solve for x
    x = 717,500,974.65/30,947.67
  6. Step 6: Final answer
    x = 23,184.33

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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.