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Finding the Fourth Proportional to 21,872.34, 32,817.29 and 10,778.76

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Solution

The fourth proportional to 21,872.34, 32,817.29 and 10,778.76 is: 16,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.34 : 32,817.29 = 10,778.76 : x
  2. Step 2: Convert to fraction form
    21,872.34/32,817.29 = 10,778.76/x
  3. Step 3: Cross multiply
    21,872.34x = 32,817.29 × 10,778.76
  4. Step 4: Simplify right side
    21,872.34x = 353,729,638.87
  5. Step 5: Solve for x
    x = 353,729,638.87/21,872.34
  6. Step 6: Final answer
    x = 16,172.46

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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.