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Finding the Fourth Proportional to 21,536.88, 32,311.80 and 10,449.60

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Solution

The fourth proportional to 21,536.88, 32,311.80 and 10,449.60 is: 15,677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,536.88 : 32,311.80 = 10,449.60 : x
  2. Step 2: Convert to fraction form
    21,536.88/32,311.80 = 10,449.60/x
  3. Step 3: Cross multiply
    21,536.88x = 32,311.80 × 10,449.60
  4. Step 4: Simplify right side
    21,536.88x = 337,645,385.28
  5. Step 5: Solve for x
    x = 337,645,385.28/21,536.88
  6. Step 6: Final answer
    x = 15,677.54

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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.