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Finding the Fourth Proportional to 13,314.76, 19,965.96 and 7,769.70

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Solution

The fourth proportional to 13,314.76, 19,965.96 and 7,769.70 is: 11,650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.76 : 19,965.96 = 7,769.70 : x
  2. Step 2: Convert to fraction form
    13,314.76/19,965.96 = 7,769.70/x
  3. Step 3: Cross multiply
    13,314.76x = 19,965.96 × 7,769.70
  4. Step 4: Simplify right side
    13,314.76x = 155,129,519.41
  5. Step 5: Solve for x
    x = 155,129,519.41/13,314.76
  6. Step 6: Final answer
    x = 11,650.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.