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Finding the Fourth Proportional to 21,268.34, 31,900.08 and 5,687.18

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Solution

The fourth proportional to 21,268.34, 31,900.08 and 5,687.18 is: 8,530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,268.34 : 31,900.08 = 5,687.18 : x
  2. Step 2: Convert to fraction form
    21,268.34/31,900.08 = 5,687.18/x
  3. Step 3: Cross multiply
    21,268.34x = 31,900.08 × 5,687.18
  4. Step 4: Simplify right side
    21,268.34x = 181,421,496.97
  5. Step 5: Solve for x
    x = 181,421,496.97/21,268.34
  6. Step 6: Final answer
    x = 8,530.12

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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.