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Finding the Fourth Proportional to 12,806.72, 17,666.14 and 7,500.52

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Solution

The fourth proportional to 12,806.72, 17,666.14 and 7,500.52 is: 10,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.72 : 17,666.14 = 7,500.52 : x
  2. Step 2: Convert to fraction form
    12,806.72/17,666.14 = 7,500.52/x
  3. Step 3: Cross multiply
    12,806.72x = 17,666.14 × 7,500.52
  4. Step 4: Simplify right side
    12,806.72x = 132,505,236.39
  5. Step 5: Solve for x
    x = 132,505,236.39/12,806.72
  6. Step 6: Final answer
    x = 10,346.54

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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.