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Finding the Fourth Proportional to 21,536.86, 32,299.05 and 8,386.30

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Solution

The fourth proportional to 21,536.86, 32,299.05 and 8,386.30 is: 12,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,536.86 : 32,299.05 = 8,386.30 : x
  2. Step 2: Convert to fraction form
    21,536.86/32,299.05 = 8,386.30/x
  3. Step 3: Cross multiply
    21,536.86x = 32,299.05 × 8,386.30
  4. Step 4: Simplify right side
    21,536.86x = 270,869,523.02
  5. Step 5: Solve for x
    x = 270,869,523.02/21,536.86
  6. Step 6: Final answer
    x = 12,577.02

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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.