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Finding the Fourth Proportional to 21,823.35, 32,751.29 and 8,498.44

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Solution

The fourth proportional to 21,823.35, 32,751.29 and 8,498.44 is: 12,753.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,823.35 : 32,751.29 = 8,498.44 : x
  2. Step 2: Convert to fraction form
    21,823.35/32,751.29 = 8,498.44/x
  3. Step 3: Cross multiply
    21,823.35x = 32,751.29 × 8,498.44
  4. Step 4: Simplify right side
    21,823.35x = 278,334,872.99
  5. Step 5: Solve for x
    x = 278,334,872.99/21,823.35
  6. Step 6: Final answer
    x = 12,753.99

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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.