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Finding the Fourth Proportional to 21,264.99, 31,902.09 and 6,475.08

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Solution

The fourth proportional to 21,264.99, 31,902.09 and 6,475.08 is: 9,714.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264.99 : 31,902.09 = 6,475.08 : x
  2. Step 2: Convert to fraction form
    21,264.99/31,902.09 = 6,475.08/x
  3. Step 3: Cross multiply
    21,264.99x = 31,902.09 × 6,475.08
  4. Step 4: Simplify right side
    21,264.99x = 206,568,584.92
  5. Step 5: Solve for x
    x = 206,568,584.92/21,264.99
  6. Step 6: Final answer
    x = 9,714.02

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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.