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Finding the Fourth Proportional to 22,646.14, 33,906.24 and 11,528.90

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Solution

The fourth proportional to 22,646.14, 33,906.24 and 11,528.90 is: 17,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.14 : 33,906.24 = 11,528.90 : x
  2. Step 2: Convert to fraction form
    22,646.14/33,906.24 = 11,528.90/x
  3. Step 3: Cross multiply
    22,646.14x = 33,906.24 × 11,528.90
  4. Step 4: Simplify right side
    22,646.14x = 390,901,650.34
  5. Step 5: Solve for x
    x = 390,901,650.34/22,646.14
  6. Step 6: Final answer
    x = 17,261.29

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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.