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Finding the Fourth Proportional to 14,151.40, 21,227.10 and 7,809.10

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Solution

The fourth proportional to 14,151.40, 21,227.10 and 7,809.10 is: 11,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,151.40 : 21,227.10 = 7,809.10 : x
  2. Step 2: Convert to fraction form
    14,151.40/21,227.10 = 7,809.10/x
  3. Step 3: Cross multiply
    14,151.40x = 21,227.10 × 7,809.10
  4. Step 4: Simplify right side
    14,151.40x = 165,764,546.61
  5. Step 5: Solve for x
    x = 165,764,546.61/14,151.40
  6. Step 6: Final answer
    x = 11,713.65

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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.