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Finding the Fourth Proportional to 14,049.43, 21,074.14 and 7,806.45

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Solution

The fourth proportional to 14,049.43, 21,074.14 and 7,806.45 is: 11,709.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,049.43 : 21,074.14 = 7,806.45 : x
  2. Step 2: Convert to fraction form
    14,049.43/21,074.14 = 7,806.45/x
  3. Step 3: Cross multiply
    14,049.43x = 21,074.14 × 7,806.45
  4. Step 4: Simplify right side
    14,049.43x = 164,514,220.20
  5. Step 5: Solve for x
    x = 164,514,220.20/14,049.43
  6. Step 6: Final answer
    x = 11,709.67

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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.