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Finding the Fourth Proportional to 17,633.07, 24,327 and 11,259.90

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Solution

The fourth proportional to 17,633.07, 24,327 and 11,259.90 is: 15,534.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633.07 : 24,327 = 11,259.90 : x
  2. Step 2: Convert to fraction form
    17,633.07/24,327 = 11,259.90/x
  3. Step 3: Cross multiply
    17,633.07x = 24,327 × 11,259.90
  4. Step 4: Simplify right side
    17,633.07x = 273,919,587.30
  5. Step 5: Solve for x
    x = 273,919,587.30/17,633.07
  6. Step 6: Final answer
    x = 15,534.42

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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.