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Finding the Fourth Proportional to 22,961.60, 34,442.40 and 21,406.40

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Solution

The fourth proportional to 22,961.60, 34,442.40 and 21,406.40 is: 32,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,961.60 : 34,442.40 = 21,406.40 : x
  2. Step 2: Convert to fraction form
    22,961.60/34,442.40 = 21,406.40/x
  3. Step 3: Cross multiply
    22,961.60x = 34,442.40 × 21,406.40
  4. Step 4: Simplify right side
    22,961.60x = 737,287,791.36
  5. Step 5: Solve for x
    x = 737,287,791.36/22,961.60
  6. Step 6: Final answer
    x = 32,109.60

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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.