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Finding the Fourth Proportional to 20,411.97, 30,627.38 and 9,322.06

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Solution

The fourth proportional to 20,411.97, 30,627.38 and 9,322.06 is: 13,987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,411.97 : 30,627.38 = 9,322.06 : x
  2. Step 2: Convert to fraction form
    20,411.97/30,627.38 = 9,322.06/x
  3. Step 3: Cross multiply
    20,411.97x = 30,627.38 × 9,322.06
  4. Step 4: Simplify right side
    20,411.97x = 285,510,274.00
  5. Step 5: Solve for x
    x = 285,510,274.00/20,411.97
  6. Step 6: Final answer
    x = 13,987.39

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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.