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Finding the Fourth Proportional to 14,093.76, 19,449.27 and 7,806

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Solution

The fourth proportional to 14,093.76, 19,449.27 and 7,806 is: 10,772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,093.76 : 19,449.27 = 7,806 : x
  2. Step 2: Convert to fraction form
    14,093.76/19,449.27 = 7,806/x
  3. Step 3: Cross multiply
    14,093.76x = 19,449.27 × 7,806
  4. Step 4: Simplify right side
    14,093.76x = 151,821,001.62
  5. Step 5: Solve for x
    x = 151,821,001.62/14,093.76
  6. Step 6: Final answer
    x = 10,772.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.