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Finding the Fourth Proportional to 21,173.10, 31,763.78 and 6,381.30

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Solution

The fourth proportional to 21,173.10, 31,763.78 and 6,381.30 is: 9,573.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,173.10 : 31,763.78 = 6,381.30 : x
  2. Step 2: Convert to fraction form
    21,173.10/31,763.78 = 6,381.30/x
  3. Step 3: Cross multiply
    21,173.10x = 31,763.78 × 6,381.30
  4. Step 4: Simplify right side
    21,173.10x = 202,694,209.31
  5. Step 5: Solve for x
    x = 202,694,209.31/21,173.10
  6. Step 6: Final answer
    x = 9,573.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.