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Finding the Fourth Proportional to 21,114.54, 31,682.75 and 15,318.99

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Solution

The fourth proportional to 21,114.54, 31,682.75 and 15,318.99 is: 22,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,114.54 : 31,682.75 = 15,318.99 : x
  2. Step 2: Convert to fraction form
    21,114.54/31,682.75 = 15,318.99/x
  3. Step 3: Cross multiply
    21,114.54x = 31,682.75 × 15,318.99
  4. Step 4: Simplify right side
    21,114.54x = 485,347,653.83
  5. Step 5: Solve for x
    x = 485,347,653.83/21,114.54
  6. Step 6: Final answer
    x = 22,986.42

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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.