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Finding the Fourth Proportional to 12,849.74, 17,734.65 and 7,815.54

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Solution

The fourth proportional to 12,849.74, 17,734.65 and 7,815.54 is: 10,786.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,849.74 : 17,734.65 = 7,815.54 : x
  2. Step 2: Convert to fraction form
    12,849.74/17,734.65 = 7,815.54/x
  3. Step 3: Cross multiply
    12,849.74x = 17,734.65 × 7,815.54
  4. Step 4: Simplify right side
    12,849.74x = 138,605,866.46
  5. Step 5: Solve for x
    x = 138,605,866.46/12,849.74
  6. Step 6: Final answer
    x = 10,786.67

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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.