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Finding the Fourth Proportional to 21,494.88, 32,245.74 and 10,402.44

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Solution

The fourth proportional to 21,494.88, 32,245.74 and 10,402.44 is: 15,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494.88 : 32,245.74 = 10,402.44 : x
  2. Step 2: Convert to fraction form
    21,494.88/32,245.74 = 10,402.44/x
  3. Step 3: Cross multiply
    21,494.88x = 32,245.74 × 10,402.44
  4. Step 4: Simplify right side
    21,494.88x = 335,434,375.61
  5. Step 5: Solve for x
    x = 335,434,375.61/21,494.88
  6. Step 6: Final answer
    x = 15,605.32

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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.