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Finding the Fourth Proportional to 21,817.61, 32,727.12 and 6,023.82

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Solution

The fourth proportional to 21,817.61, 32,727.12 and 6,023.82 is: 9,035.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,817.61 : 32,727.12 = 6,023.82 : x
  2. Step 2: Convert to fraction form
    21,817.61/32,727.12 = 6,023.82/x
  3. Step 3: Cross multiply
    21,817.61x = 32,727.12 × 6,023.82
  4. Step 4: Simplify right side
    21,817.61x = 197,142,414.02
  5. Step 5: Solve for x
    x = 197,142,414.02/21,817.61
  6. Step 6: Final answer
    x = 9,035.93

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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.