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Finding the Fourth Proportional to 12,824.66, 17,696.28 and 7,789.94

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Solution

The fourth proportional to 12,824.66, 17,696.28 and 7,789.94 is: 10,749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824.66 : 17,696.28 = 7,789.94 : x
  2. Step 2: Convert to fraction form
    12,824.66/17,696.28 = 7,789.94/x
  3. Step 3: Cross multiply
    12,824.66x = 17,696.28 × 7,789.94
  4. Step 4: Simplify right side
    12,824.66x = 137,852,959.42
  5. Step 5: Solve for x
    x = 137,852,959.42/12,824.66
  6. Step 6: Final answer
    x = 10,749.05

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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.