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Finding the Fourth Proportional to 30,657.60, 42,309 and 17,228.16

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Solution

The fourth proportional to 30,657.60, 42,309 and 17,228.16 is: 23,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.60 : 42,309 = 17,228.16 : x
  2. Step 2: Convert to fraction form
    30,657.60/42,309 = 17,228.16/x
  3. Step 3: Cross multiply
    30,657.60x = 42,309 × 17,228.16
  4. Step 4: Simplify right side
    30,657.60x = 728,906,221.44
  5. Step 5: Solve for x
    x = 728,906,221.44/30,657.60
  6. Step 6: Final answer
    x = 23,775.71

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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.