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Finding the Fourth Proportional to 17,644.01, 24,349.16 and 9,686.37

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Solution

The fourth proportional to 17,644.01, 24,349.16 and 9,686.37 is: 13,367.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.01 : 24,349.16 = 9,686.37 : x
  2. Step 2: Convert to fraction form
    17,644.01/24,349.16 = 9,686.37/x
  3. Step 3: Cross multiply
    17,644.01x = 24,349.16 × 9,686.37
  4. Step 4: Simplify right side
    17,644.01x = 235,854,924.52
  5. Step 5: Solve for x
    x = 235,854,924.52/17,644.01
  6. Step 6: Final answer
    x = 13,367.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.