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Finding the Fourth Proportional to 21,536.68, 32,310.78 and 7,686.44

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Solution

The fourth proportional to 21,536.68, 32,310.78 and 7,686.44 is: 11,531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,536.68 : 32,310.78 = 7,686.44 : x
  2. Step 2: Convert to fraction form
    21,536.68/32,310.78 = 7,686.44/x
  3. Step 3: Cross multiply
    21,536.68x = 32,310.78 × 7,686.44
  4. Step 4: Simplify right side
    21,536.68x = 248,354,871.82
  5. Step 5: Solve for x
    x = 248,354,871.82/21,536.68
  6. Step 6: Final answer
    x = 11,531.72

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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.