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Finding the Fourth Proportional to 22,966.30, 34,469.70 and 13,594.60

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Solution

The fourth proportional to 22,966.30, 34,469.70 and 13,594.60 is: 20,403.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966.30 : 34,469.70 = 13,594.60 : x
  2. Step 2: Convert to fraction form
    22,966.30/34,469.70 = 13,594.60/x
  3. Step 3: Cross multiply
    22,966.30x = 34,469.70 × 13,594.60
  4. Step 4: Simplify right side
    22,966.30x = 468,601,783.62
  5. Step 5: Solve for x
    x = 468,601,783.62/22,966.30
  6. Step 6: Final answer
    x = 20,403.89

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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.