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Finding the Fourth Proportional to 16,940.34, 25,413 and 6,414.24

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Solution

The fourth proportional to 16,940.34, 25,413 and 6,414.24 is: 9,622.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,940.34 : 25,413 = 6,414.24 : x
  2. Step 2: Convert to fraction form
    16,940.34/25,413 = 6,414.24/x
  3. Step 3: Cross multiply
    16,940.34x = 25,413 × 6,414.24
  4. Step 4: Simplify right side
    16,940.34x = 163,005,081.12
  5. Step 5: Solve for x
    x = 163,005,081.12/16,940.34
  6. Step 6: Final answer
    x = 9,622.30

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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.