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Finding the Fourth Proportional to 17,476.56, 26,205.47 and 6,946.15

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Solution

The fourth proportional to 17,476.56, 26,205.47 and 6,946.15 is: 10,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,476.56 : 26,205.47 = 6,946.15 : x
  2. Step 2: Convert to fraction form
    17,476.56/26,205.47 = 6,946.15/x
  3. Step 3: Cross multiply
    17,476.56x = 26,205.47 × 6,946.15
  4. Step 4: Simplify right side
    17,476.56x = 182,027,125.44
  5. Step 5: Solve for x
    x = 182,027,125.44/17,476.56
  6. Step 6: Final answer
    x = 10,415.50

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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.