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Finding the Fourth Proportional to 30,657.80, 42,308.04 and 17,229.22

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Solution

The fourth proportional to 30,657.80, 42,308.04 and 17,229.22 is: 23,776.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.80 : 42,308.04 = 17,229.22 : x
  2. Step 2: Convert to fraction form
    30,657.80/42,308.04 = 17,229.22/x
  3. Step 3: Cross multiply
    30,657.80x = 42,308.04 × 17,229.22
  4. Step 4: Simplify right side
    30,657.80x = 728,934,528.93
  5. Step 5: Solve for x
    x = 728,934,528.93/30,657.80
  6. Step 6: Final answer
    x = 23,776.48

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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.