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Finding the Fourth Proportional to 21,535.86, 32,297.55 and 8,385.30

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Solution

The fourth proportional to 21,535.86, 32,297.55 and 8,385.30 is: 12,575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,535.86 : 32,297.55 = 8,385.30 : x
  2. Step 2: Convert to fraction form
    21,535.86/32,297.55 = 8,385.30/x
  3. Step 3: Cross multiply
    21,535.86x = 32,297.55 × 8,385.30
  4. Step 4: Simplify right side
    21,535.86x = 270,824,646.02
  5. Step 5: Solve for x
    x = 270,824,646.02/21,535.86
  6. Step 6: Final answer
    x = 12,575.52

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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.