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Finding the Fourth Proportional to 22,991.60, 34,490.10 and 8,202.62

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Solution

The fourth proportional to 22,991.60, 34,490.10 and 8,202.62 is: 12,304.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,991.60 : 34,490.10 = 8,202.62 : x
  2. Step 2: Convert to fraction form
    22,991.60/34,490.10 = 8,202.62/x
  3. Step 3: Cross multiply
    22,991.60x = 34,490.10 × 8,202.62
  4. Step 4: Simplify right side
    22,991.60x = 282,909,184.06
  5. Step 5: Solve for x
    x = 282,909,184.06/22,991.60
  6. Step 6: Final answer
    x = 12,304.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.