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Finding the Fourth Proportional to 12,769.48, 17,622.39 and 7,730.84

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Solution

The fourth proportional to 12,769.48, 17,622.39 and 7,730.84 is: 10,668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769.48 : 17,622.39 = 7,730.84 : x
  2. Step 2: Convert to fraction form
    12,769.48/17,622.39 = 7,730.84/x
  3. Step 3: Cross multiply
    12,769.48x = 17,622.39 × 7,730.84
  4. Step 4: Simplify right side
    12,769.48x = 136,235,950.55
  5. Step 5: Solve for x
    x = 136,235,950.55/12,769.48
  6. Step 6: Final answer
    x = 10,668.87

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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.