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Finding the Fourth Proportional to 22,201.10, 33,272.76 and 9,038.06

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Solution

The fourth proportional to 22,201.10, 33,272.76 and 9,038.06 is: 13,545.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,201.10 : 33,272.76 = 9,038.06 : x
  2. Step 2: Convert to fraction form
    22,201.10/33,272.76 = 9,038.06/x
  3. Step 3: Cross multiply
    22,201.10x = 33,272.76 × 9,038.06
  4. Step 4: Simplify right side
    22,201.10x = 300,721,201.25
  5. Step 5: Solve for x
    x = 300,721,201.25/22,201.10
  6. Step 6: Final answer
    x = 13,545.33

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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.