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Finding the Fourth Proportional to 15,138.72, 22,715.04 and 6,814.24

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Solution

The fourth proportional to 15,138.72, 22,715.04 and 6,814.24 is: 10,224.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.72 : 22,715.04 = 6,814.24 : x
  2. Step 2: Convert to fraction form
    15,138.72/22,715.04 = 6,814.24/x
  3. Step 3: Cross multiply
    15,138.72x = 22,715.04 × 6,814.24
  4. Step 4: Simplify right side
    15,138.72x = 154,785,734.17
  5. Step 5: Solve for x
    x = 154,785,734.17/15,138.72
  6. Step 6: Final answer
    x = 10,224.49

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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.