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Finding the Fourth Proportional to 22,242.18, 33,365.34 and 8,201.64

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Solution

The fourth proportional to 22,242.18, 33,365.34 and 8,201.64 is: 12,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,242.18 : 33,365.34 = 8,201.64 : x
  2. Step 2: Convert to fraction form
    22,242.18/33,365.34 = 8,201.64/x
  3. Step 3: Cross multiply
    22,242.18x = 33,365.34 × 8,201.64
  4. Step 4: Simplify right side
    22,242.18x = 273,650,507.16
  5. Step 5: Solve for x
    x = 273,650,507.16/22,242.18
  6. Step 6: Final answer
    x = 12,303.22

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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.