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Finding the Fourth Proportional to 22,526.21, 33,790.13 and 7,735.04

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Solution

The fourth proportional to 22,526.21, 33,790.13 and 7,735.04 is: 11,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,526.21 : 33,790.13 = 7,735.04 : x
  2. Step 2: Convert to fraction form
    22,526.21/33,790.13 = 7,735.04/x
  3. Step 3: Cross multiply
    22,526.21x = 33,790.13 × 7,735.04
  4. Step 4: Simplify right side
    22,526.21x = 261,367,799.53
  5. Step 5: Solve for x
    x = 261,367,799.53/22,526.21
  6. Step 6: Final answer
    x = 11,602.83

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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.