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Finding the Fourth Proportional to 22,258.42, 33,387.63 and 9,105.46

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Solution

The fourth proportional to 22,258.42, 33,387.63 and 9,105.46 is: 13,658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,258.42 : 33,387.63 = 9,105.46 : x
  2. Step 2: Convert to fraction form
    22,258.42/33,387.63 = 9,105.46/x
  3. Step 3: Cross multiply
    22,258.42x = 33,387.63 × 9,105.46
  4. Step 4: Simplify right side
    22,258.42x = 304,009,729.46
  5. Step 5: Solve for x
    x = 304,009,729.46/22,258.42
  6. Step 6: Final answer
    x = 13,658.19

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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.