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Finding the Fourth Proportional to 20,687.10, 31,027.58 and 7,536.41

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Solution

The fourth proportional to 20,687.10, 31,027.58 and 7,536.41 is: 11,303.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,687.10 : 31,027.58 = 7,536.41 : x
  2. Step 2: Convert to fraction form
    20,687.10/31,027.58 = 7,536.41/x
  3. Step 3: Cross multiply
    20,687.10x = 31,027.58 × 7,536.41
  4. Step 4: Simplify right side
    20,687.10x = 233,836,371.37
  5. Step 5: Solve for x
    x = 233,836,371.37/20,687.10
  6. Step 6: Final answer
    x = 11,303.49

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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.