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Finding the Fourth Proportional to 12,719.92, 17,554.18 and 7,414.42

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Solution

The fourth proportional to 12,719.92, 17,554.18 and 7,414.42 is: 10,232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,719.92 : 17,554.18 = 7,414.42 : x
  2. Step 2: Convert to fraction form
    12,719.92/17,554.18 = 7,414.42/x
  3. Step 3: Cross multiply
    12,719.92x = 17,554.18 × 7,414.42
  4. Step 4: Simplify right side
    12,719.92x = 130,154,063.28
  5. Step 5: Solve for x
    x = 130,154,063.28/12,719.92
  6. Step 6: Final answer
    x = 10,232.30

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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.