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Finding the Fourth Proportional to 22,938.60, 34,383.42 and 9,784.20

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Solution

The fourth proportional to 22,938.60, 34,383.42 and 9,784.20 is: 14,665.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,938.60 : 34,383.42 = 9,784.20 : x
  2. Step 2: Convert to fraction form
    22,938.60/34,383.42 = 9,784.20/x
  3. Step 3: Cross multiply
    22,938.60x = 34,383.42 × 9,784.20
  4. Step 4: Simplify right side
    22,938.60x = 336,414,257.96
  5. Step 5: Solve for x
    x = 336,414,257.96/22,938.60
  6. Step 6: Final answer
    x = 14,665.86

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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.