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Finding the Fourth Proportional to 21,823.89, 32,690.42 and 21,071.09

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Solution

The fourth proportional to 21,823.89, 32,690.42 and 21,071.09 is: 31,562.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,823.89 : 32,690.42 = 21,071.09 : x
  2. Step 2: Convert to fraction form
    21,823.89/32,690.42 = 21,071.09/x
  3. Step 3: Cross multiply
    21,823.89x = 32,690.42 × 21,071.09
  4. Step 4: Simplify right side
    21,823.89x = 688,822,781.96
  5. Step 5: Solve for x
    x = 688,822,781.96/21,823.89
  6. Step 6: Final answer
    x = 31,562.79

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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.