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Finding the Fourth Proportional to 16,951.14, 25,407.02 and 6,414.46

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Solution

The fourth proportional to 16,951.14, 25,407.02 and 6,414.46 is: 9,614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,951.14 : 25,407.02 = 6,414.46 : x
  2. Step 2: Convert to fraction form
    16,951.14/25,407.02 = 6,414.46/x
  3. Step 3: Cross multiply
    16,951.14x = 25,407.02 × 6,414.46
  4. Step 4: Simplify right side
    16,951.14x = 162,972,313.51
  5. Step 5: Solve for x
    x = 162,972,313.51/16,951.14
  6. Step 6: Final answer
    x = 9,614.24

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