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Finding the Fourth Proportional to 21,812.13, 32,718.09 and 14,414.94

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Solution

The fourth proportional to 21,812.13, 32,718.09 and 14,414.94 is: 21,622.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,812.13 : 32,718.09 = 14,414.94 : x
  2. Step 2: Convert to fraction form
    21,812.13/32,718.09 = 14,414.94/x
  3. Step 3: Cross multiply
    21,812.13x = 32,718.09 × 14,414.94
  4. Step 4: Simplify right side
    21,812.13x = 471,629,304.26
  5. Step 5: Solve for x
    x = 471,629,304.26/21,812.13
  6. Step 6: Final answer
    x = 21,622.34

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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.