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Finding the Fourth Proportional to 30,414.06, 41,969.88 and 17,838

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Solution

The fourth proportional to 30,414.06, 41,969.88 and 17,838 is: 24,615.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,414.06 : 41,969.88 = 17,838 : x
  2. Step 2: Convert to fraction form
    30,414.06/41,969.88 = 17,838/x
  3. Step 3: Cross multiply
    30,414.06x = 41,969.88 × 17,838
  4. Step 4: Simplify right side
    30,414.06x = 748,658,719.44
  5. Step 5: Solve for x
    x = 748,658,719.44/30,414.06
  6. Step 6: Final answer
    x = 24,615.55

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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.