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Finding the Fourth Proportional to 17,467.75, 26,178.25 and 8,569.47

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Solution

The fourth proportional to 17,467.75, 26,178.25 and 8,569.47 is: 12,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,467.75 : 26,178.25 = 8,569.47 : x
  2. Step 2: Convert to fraction form
    17,467.75/26,178.25 = 8,569.47/x
  3. Step 3: Cross multiply
    17,467.75x = 26,178.25 × 8,569.47
  4. Step 4: Simplify right side
    17,467.75x = 224,333,728.03
  5. Step 5: Solve for x
    x = 224,333,728.03/17,467.75
  6. Step 6: Final answer
    x = 12,842.74

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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.