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Finding the Fourth Proportional to 21,531.77, 32,294.00 and 5,949.44

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Solution

The fourth proportional to 21,531.77, 32,294.00 and 5,949.44 is: 8,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,531.77 : 32,294.00 = 5,949.44 : x
  2. Step 2: Convert to fraction form
    21,531.77/32,294.00 = 5,949.44/x
  3. Step 3: Cross multiply
    21,531.77x = 32,294.00 × 5,949.44
  4. Step 4: Simplify right side
    21,531.77x = 192,131,068.76
  5. Step 5: Solve for x
    x = 192,131,068.76/21,531.77
  6. Step 6: Final answer
    x = 8,923.15

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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.