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Finding the Fourth Proportional to 21,737, 32,505.82 and 16,194.12

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Solution

The fourth proportional to 21,737, 32,505.82 and 16,194.12 is: 24,216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,737 : 32,505.82 = 16,194.12 : x
  2. Step 2: Convert to fraction form
    21,737/32,505.82 = 16,194.12/x
  3. Step 3: Cross multiply
    21,737x = 32,505.82 × 16,194.12
  4. Step 4: Simplify right side
    21,737x = 526,403,149.78
  5. Step 5: Solve for x
    x = 526,403,149.78/21,737
  6. Step 6: Final answer
    x = 24,216.92

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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.