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Finding the Fourth Proportional to 30,657.22, 42,308.92 and 17,914.54

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Solution

The fourth proportional to 30,657.22, 42,308.92 and 17,914.54 is: 24,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.22 : 42,308.92 = 17,914.54 : x
  2. Step 2: Convert to fraction form
    30,657.22/42,308.92 = 17,914.54/x
  3. Step 3: Cross multiply
    30,657.22x = 42,308.92 × 17,914.54
  4. Step 4: Simplify right side
    30,657.22x = 757,944,839.70
  5. Step 5: Solve for x
    x = 757,944,839.70/30,657.22
  6. Step 6: Final answer
    x = 24,723.21

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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.