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Finding the Fourth Proportional to 30,657.43, 42,308.50 and 17,228.64

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Solution

The fourth proportional to 30,657.43, 42,308.50 and 17,228.64 is: 23,776.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.43 : 42,308.50 = 17,228.64 : x
  2. Step 2: Convert to fraction form
    30,657.43/42,308.50 = 17,228.64/x
  3. Step 3: Cross multiply
    30,657.43x = 42,308.50 × 17,228.64
  4. Step 4: Simplify right side
    30,657.43x = 728,917,915.44
  5. Step 5: Solve for x
    x = 728,917,915.44/30,657.43
  6. Step 6: Final answer
    x = 23,776.22

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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.