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Finding the Fourth Proportional to 21,134.12, 31,706 and 11,268.20

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Solution

The fourth proportional to 21,134.12, 31,706 and 11,268.20 is: 16,904.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,134.12 : 31,706 = 11,268.20 : x
  2. Step 2: Convert to fraction form
    21,134.12/31,706 = 11,268.20/x
  3. Step 3: Cross multiply
    21,134.12x = 31,706 × 11,268.20
  4. Step 4: Simplify right side
    21,134.12x = 357,269,549.20
  5. Step 5: Solve for x
    x = 357,269,549.20/21,134.12
  6. Step 6: Final answer
    x = 16,904.87

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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.