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Finding the Fourth Proportional to 12,817.46, 19,217.10 and 5,697.80

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Solution

The fourth proportional to 12,817.46, 19,217.10 and 5,697.80 is: 8,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.46 : 19,217.10 = 5,697.80 : x
  2. Step 2: Convert to fraction form
    12,817.46/19,217.10 = 5,697.80/x
  3. Step 3: Cross multiply
    12,817.46x = 19,217.10 × 5,697.80
  4. Step 4: Simplify right side
    12,817.46x = 109,495,096.29
  5. Step 5: Solve for x
    x = 109,495,096.29/12,817.46
  6. Step 6: Final answer
    x = 8,542.66

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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.