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Finding the Fourth Proportional to 21,821.34, 32,748.32 and 8,496.44

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Solution

The fourth proportional to 21,821.34, 32,748.32 and 8,496.44 is: 12,751.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,821.34 : 32,748.32 = 8,496.44 : x
  2. Step 2: Convert to fraction form
    21,821.34/32,748.32 = 8,496.44/x
  3. Step 3: Cross multiply
    21,821.34x = 32,748.32 × 8,496.44
  4. Step 4: Simplify right side
    21,821.34x = 278,243,929.76
  5. Step 5: Solve for x
    x = 278,243,929.76/21,821.34
  6. Step 6: Final answer
    x = 12,751.00

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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.