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Finding the Fourth Proportional to 21,150, 31,723.77 and 6,358.59

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Solution

The fourth proportional to 21,150, 31,723.77 and 6,358.59 is: 9,537.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,150 : 31,723.77 = 6,358.59 : x
  2. Step 2: Convert to fraction form
    21,150/31,723.77 = 6,358.59/x
  3. Step 3: Cross multiply
    21,150x = 31,723.77 × 6,358.59
  4. Step 4: Simplify right side
    21,150x = 201,718,446.68
  5. Step 5: Solve for x
    x = 201,718,446.68/21,150
  6. Step 6: Final answer
    x = 9,537.52

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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.