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Finding the Fourth Proportional to 22,065.42, 33,098.08 and 9,583.84

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Solution

The fourth proportional to 22,065.42, 33,098.08 and 9,583.84 is: 14,375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,065.42 : 33,098.08 = 9,583.84 : x
  2. Step 2: Convert to fraction form
    22,065.42/33,098.08 = 9,583.84/x
  3. Step 3: Cross multiply
    22,065.42x = 33,098.08 × 9,583.84
  4. Step 4: Simplify right side
    22,065.42x = 317,206,703.03
  5. Step 5: Solve for x
    x = 317,206,703.03/22,065.42
  6. Step 6: Final answer
    x = 14,375.74

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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.