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Finding the Fourth Proportional to 21,240.87, 31,861.35 and 6,449.90

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Solution

The fourth proportional to 21,240.87, 31,861.35 and 6,449.90 is: 9,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,240.87 : 31,861.35 = 6,449.90 : x
  2. Step 2: Convert to fraction form
    21,240.87/31,861.35 = 6,449.90/x
  3. Step 3: Cross multiply
    21,240.87x = 31,861.35 × 6,449.90
  4. Step 4: Simplify right side
    21,240.87x = 205,502,362.06
  5. Step 5: Solve for x
    x = 205,502,362.06/21,240.87
  6. Step 6: Final answer
    x = 9,674.86

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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.