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Finding the Fourth Proportional to 21,268.10, 31,902.05 and 6,476.49

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Solution

The fourth proportional to 21,268.10, 31,902.05 and 6,476.49 is: 9,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,268.10 : 31,902.05 = 6,476.49 : x
  2. Step 2: Convert to fraction form
    21,268.10/31,902.05 = 6,476.49/x
  3. Step 3: Cross multiply
    21,268.10x = 31,902.05 × 6,476.49
  4. Step 4: Simplify right side
    21,268.10x = 206,613,324.00
  5. Step 5: Solve for x
    x = 206,613,324.00/21,268.10
  6. Step 6: Final answer
    x = 9,714.70

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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.