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Finding the Fourth Proportional to 30,947.25, 42,707.28 and 16,800.09

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Solution

The fourth proportional to 30,947.25, 42,707.28 and 16,800.09 is: 23,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,947.25 : 42,707.28 = 16,800.09 : x
  2. Step 2: Convert to fraction form
    30,947.25/42,707.28 = 16,800.09/x
  3. Step 3: Cross multiply
    30,947.25x = 42,707.28 × 16,800.09
  4. Step 4: Simplify right side
    30,947.25x = 717,486,147.66
  5. Step 5: Solve for x
    x = 717,486,147.66/30,947.25
  6. Step 6: Final answer
    x = 23,184.16

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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.