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Finding the Fourth Proportional to 12,126.90, 18,193.10 and 3,806.88

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Solution

The fourth proportional to 12,126.90, 18,193.10 and 3,806.88 is: 5,711.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126.90 : 18,193.10 = 3,806.88 : x
  2. Step 2: Convert to fraction form
    12,126.90/18,193.10 = 3,806.88/x
  3. Step 3: Cross multiply
    12,126.90x = 18,193.10 × 3,806.88
  4. Step 4: Simplify right side
    12,126.90x = 69,258,929.49
  5. Step 5: Solve for x
    x = 69,258,929.49/12,126.90
  6. Step 6: Final answer
    x = 5,711.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.