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Finding the Fourth Proportional to 12,683.28, 19,019.13 and 6,758.66

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Solution

The fourth proportional to 12,683.28, 19,019.13 and 6,758.66 is: 10,134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.28 : 19,019.13 = 6,758.66 : x
  2. Step 2: Convert to fraction form
    12,683.28/19,019.13 = 6,758.66/x
  3. Step 3: Cross multiply
    12,683.28x = 19,019.13 × 6,758.66
  4. Step 4: Simplify right side
    12,683.28x = 128,543,738.07
  5. Step 5: Solve for x
    x = 128,543,738.07/12,683.28
  6. Step 6: Final answer
    x = 10,134.90

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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.