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Finding the Fourth Proportional to 21,753.83, 32,597.53 and 16,180.22

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Solution

The fourth proportional to 21,753.83, 32,597.53 and 16,180.22 is: 24,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,753.83 : 32,597.53 = 16,180.22 : x
  2. Step 2: Convert to fraction form
    21,753.83/32,597.53 = 16,180.22/x
  3. Step 3: Cross multiply
    21,753.83x = 32,597.53 × 16,180.22
  4. Step 4: Simplify right side
    21,753.83x = 527,435,125.96
  5. Step 5: Solve for x
    x = 527,435,125.96/21,753.83
  6. Step 6: Final answer
    x = 24,245.62

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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.