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Finding the Fourth Proportional to 22,476.12, 33,695.88 and 8,428.26

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Solution

The fourth proportional to 22,476.12, 33,695.88 and 8,428.26 is: 12,635.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,476.12 : 33,695.88 = 8,428.26 : x
  2. Step 2: Convert to fraction form
    22,476.12/33,695.88 = 8,428.26/x
  3. Step 3: Cross multiply
    22,476.12x = 33,695.88 × 8,428.26
  4. Step 4: Simplify right side
    22,476.12x = 283,997,637.57
  5. Step 5: Solve for x
    x = 283,997,637.57/22,476.12
  6. Step 6: Final answer
    x = 12,635.53

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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.