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Finding the Fourth Proportional to 22,289.40, 33,447.06 and 9,151.20

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Solution

The fourth proportional to 22,289.40, 33,447.06 and 9,151.20 is: 13,732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,289.40 : 33,447.06 = 9,151.20 : x
  2. Step 2: Convert to fraction form
    22,289.40/33,447.06 = 9,151.20/x
  3. Step 3: Cross multiply
    22,289.40x = 33,447.06 × 9,151.20
  4. Step 4: Simplify right side
    22,289.40x = 306,080,735.47
  5. Step 5: Solve for x
    x = 306,080,735.47/22,289.40
  6. Step 6: Final answer
    x = 13,732.12

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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.