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Finding the Fourth Proportional to 12,769.07, 17,621.66 and 7,734.20

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Solution

The fourth proportional to 12,769.07, 17,621.66 and 7,734.20 is: 10,673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769.07 : 17,621.66 = 7,734.20 : x
  2. Step 2: Convert to fraction form
    12,769.07/17,621.66 = 7,734.20/x
  3. Step 3: Cross multiply
    12,769.07x = 17,621.66 × 7,734.20
  4. Step 4: Simplify right side
    12,769.07x = 136,289,404.10
  5. Step 5: Solve for x
    x = 136,289,404.10/12,769.07
  6. Step 6: Final answer
    x = 10,673.40

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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.