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Finding the Fourth Proportional to 20,963.58, 31,445.37 and 5,381.21

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Solution

The fourth proportional to 20,963.58, 31,445.37 and 5,381.21 is: 8,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,963.58 : 31,445.37 = 5,381.21 : x
  2. Step 2: Convert to fraction form
    20,963.58/31,445.37 = 5,381.21/x
  3. Step 3: Cross multiply
    20,963.58x = 31,445.37 × 5,381.21
  4. Step 4: Simplify right side
    20,963.58x = 169,214,139.50
  5. Step 5: Solve for x
    x = 169,214,139.50/20,963.58
  6. Step 6: Final answer
    x = 8,071.82

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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.