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Finding the Fourth Proportional to 22,563.10, 33,839.18 and 9,415.58

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Solution

The fourth proportional to 22,563.10, 33,839.18 and 9,415.58 is: 14,121.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.10 : 33,839.18 = 9,415.58 : x
  2. Step 2: Convert to fraction form
    22,563.10/33,839.18 = 9,415.58/x
  3. Step 3: Cross multiply
    22,563.10x = 33,839.18 × 9,415.58
  4. Step 4: Simplify right side
    22,563.10x = 318,615,506.42
  5. Step 5: Solve for x
    x = 318,615,506.42/22,563.10
  6. Step 6: Final answer
    x = 14,121.09

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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.