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Finding the Fourth Proportional to 17,439.46, 26,151 and 6,338.32

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Solution

The fourth proportional to 17,439.46, 26,151 and 6,338.32 is: 9,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,439.46 : 26,151 = 6,338.32 : x
  2. Step 2: Convert to fraction form
    17,439.46/26,151 = 6,338.32/x
  3. Step 3: Cross multiply
    17,439.46x = 26,151 × 6,338.32
  4. Step 4: Simplify right side
    17,439.46x = 165,753,406.32
  5. Step 5: Solve for x
    x = 165,753,406.32/17,439.46
  6. Step 6: Final answer
    x = 9,504.50

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Why These Related Problems?

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