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Finding the Fourth Proportional to 21,173.14, 31,759.17 and 5,590.90

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Solution

The fourth proportional to 21,173.14, 31,759.17 and 5,590.90 is: 8,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,173.14 : 31,759.17 = 5,590.90 : x
  2. Step 2: Convert to fraction form
    21,173.14/31,759.17 = 5,590.90/x
  3. Step 3: Cross multiply
    21,173.14x = 31,759.17 × 5,590.90
  4. Step 4: Simplify right side
    21,173.14x = 177,562,343.55
  5. Step 5: Solve for x
    x = 177,562,343.55/21,173.14
  6. Step 6: Final answer
    x = 8,386.21

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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.