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Finding the Fourth Proportional to 21,821.16, 32,748.03 and 8,496.24

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Solution

The fourth proportional to 21,821.16, 32,748.03 and 8,496.24 is: 12,750.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,821.16 : 32,748.03 = 8,496.24 : x
  2. Step 2: Convert to fraction form
    21,821.16/32,748.03 = 8,496.24/x
  3. Step 3: Cross multiply
    21,821.16x = 32,748.03 × 8,496.24
  4. Step 4: Simplify right side
    21,821.16x = 278,235,122.41
  5. Step 5: Solve for x
    x = 278,235,122.41/21,821.16
  6. Step 6: Final answer
    x = 12,750.70

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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.