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Finding the Fourth Proportional to 13,246.24, 19,872.24 and 4,012

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Solution

The fourth proportional to 13,246.24, 19,872.24 and 4,012 is: 6,018.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,246.24 : 19,872.24 = 4,012 : x
  2. Step 2: Convert to fraction form
    13,246.24/19,872.24 = 4,012/x
  3. Step 3: Cross multiply
    13,246.24x = 19,872.24 × 4,012
  4. Step 4: Simplify right side
    13,246.24x = 79,727,426.88
  5. Step 5: Solve for x
    x = 79,727,426.88/13,246.24
  6. Step 6: Final answer
    x = 6,018.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.