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Finding the Fourth Proportional to 12,719.15, 17,551.32 and 7,414.46

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Solution

The fourth proportional to 12,719.15, 17,551.32 and 7,414.46 is: 10,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,719.15 : 17,551.32 = 7,414.46 : x
  2. Step 2: Convert to fraction form
    12,719.15/17,551.32 = 7,414.46/x
  3. Step 3: Cross multiply
    12,719.15x = 17,551.32 × 7,414.46
  4. Step 4: Simplify right side
    12,719.15x = 130,133,472.33
  5. Step 5: Solve for x
    x = 130,133,472.33/12,719.15
  6. Step 6: Final answer
    x = 10,231.31

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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.