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Finding the Fourth Proportional to 12,693.20, 19,039.47 and 5,297.49

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Solution

The fourth proportional to 12,693.20, 19,039.47 and 5,297.49 is: 7,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,693.20 : 19,039.47 = 5,297.49 : x
  2. Step 2: Convert to fraction form
    12,693.20/19,039.47 = 5,297.49/x
  3. Step 3: Cross multiply
    12,693.20x = 19,039.47 × 5,297.49
  4. Step 4: Simplify right side
    12,693.20x = 100,861,401.93
  5. Step 5: Solve for x
    x = 100,861,401.93/12,693.20
  6. Step 6: Final answer
    x = 7,946.10

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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.