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Finding the Fourth Proportional to 15,011.38, 20,715.62 and 8,297.40

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Solution

The fourth proportional to 15,011.38, 20,715.62 and 8,297.40 is: 11,450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,011.38 : 20,715.62 = 8,297.40 : x
  2. Step 2: Convert to fraction form
    15,011.38/20,715.62 = 8,297.40/x
  3. Step 3: Cross multiply
    15,011.38x = 20,715.62 × 8,297.40
  4. Step 4: Simplify right side
    15,011.38x = 171,885,785.39
  5. Step 5: Solve for x
    x = 171,885,785.39/15,011.38
  6. Step 6: Final answer
    x = 11,450.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.