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Finding the Fourth Proportional to 21,271.87, 31,907.82 and 8,778.17

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Solution

The fourth proportional to 21,271.87, 31,907.82 and 8,778.17 is: 13,167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,271.87 : 31,907.82 = 8,778.17 : x
  2. Step 2: Convert to fraction form
    21,271.87/31,907.82 = 8,778.17/x
  3. Step 3: Cross multiply
    21,271.87x = 31,907.82 × 8,778.17
  4. Step 4: Simplify right side
    21,271.87x = 280,092,268.29
  5. Step 5: Solve for x
    x = 280,092,268.29/21,271.87
  6. Step 6: Final answer
    x = 13,167.26

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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.