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Finding the Fourth Proportional to 22,428.53, 33,617.65 and 9,098.43

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Solution

The fourth proportional to 22,428.53, 33,617.65 and 9,098.43 is: 13,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,428.53 : 33,617.65 = 9,098.43 : x
  2. Step 2: Convert to fraction form
    22,428.53/33,617.65 = 9,098.43/x
  3. Step 3: Cross multiply
    22,428.53x = 33,617.65 × 9,098.43
  4. Step 4: Simplify right side
    22,428.53x = 305,867,835.29
  5. Step 5: Solve for x
    x = 305,867,835.29/22,428.53
  6. Step 6: Final answer
    x = 13,637.44

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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.