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Finding the Fourth Proportional to 17,644.32, 26,467.14 and 6,553.80

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Solution

The fourth proportional to 17,644.32, 26,467.14 and 6,553.80 is: 9,830.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.32 : 26,467.14 = 6,553.80 : x
  2. Step 2: Convert to fraction form
    17,644.32/26,467.14 = 6,553.80/x
  3. Step 3: Cross multiply
    17,644.32x = 26,467.14 × 6,553.80
  4. Step 4: Simplify right side
    17,644.32x = 173,460,342.13
  5. Step 5: Solve for x
    x = 173,460,342.13/17,644.32
  6. Step 6: Final answer
    x = 9,830.95

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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.