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Finding the Fourth Proportional to 30,257.71, 41,757.18 and 16,829.22

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Solution

The fourth proportional to 30,257.71, 41,757.18 and 16,829.22 is: 23,225.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,257.71 : 41,757.18 = 16,829.22 : x
  2. Step 2: Convert to fraction form
    30,257.71/41,757.18 = 16,829.22/x
  3. Step 3: Cross multiply
    30,257.71x = 41,757.18 × 16,829.22
  4. Step 4: Simplify right side
    30,257.71x = 702,740,768.80
  5. Step 5: Solve for x
    x = 702,740,768.80/30,257.71
  6. Step 6: Final answer
    x = 23,225.18

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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.