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Finding the Fourth Proportional to 21,381.90, 32,050.17 and 8,228.58

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Solution

The fourth proportional to 21,381.90, 32,050.17 and 8,228.58 is: 12,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,381.90 : 32,050.17 = 8,228.58 : x
  2. Step 2: Convert to fraction form
    21,381.90/32,050.17 = 8,228.58/x
  3. Step 3: Cross multiply
    21,381.90x = 32,050.17 × 8,228.58
  4. Step 4: Simplify right side
    21,381.90x = 263,727,387.86
  5. Step 5: Solve for x
    x = 263,727,387.86/21,381.90
  6. Step 6: Final answer
    x = 12,334.14

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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.