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Finding the Fourth Proportional to 12,769.86, 17,619.76 and 7,463.66

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Solution

The fourth proportional to 12,769.86, 17,619.76 and 7,463.66 is: 10,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769.86 : 17,619.76 = 7,463.66 : x
  2. Step 2: Convert to fraction form
    12,769.86/17,619.76 = 7,463.66/x
  3. Step 3: Cross multiply
    12,769.86x = 17,619.76 × 7,463.66
  4. Step 4: Simplify right side
    12,769.86x = 131,507,819.15
  5. Step 5: Solve for x
    x = 131,507,819.15/12,769.86
  6. Step 6: Final answer
    x = 10,298.29

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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.