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Finding the Fourth Proportional to 22,970.80, 34,464.30 and 8,180.20

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Solution

The fourth proportional to 22,970.80, 34,464.30 and 8,180.20 is: 12,273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.80 : 34,464.30 = 8,180.20 : x
  2. Step 2: Convert to fraction form
    22,970.80/34,464.30 = 8,180.20/x
  3. Step 3: Cross multiply
    22,970.80x = 34,464.30 × 8,180.20
  4. Step 4: Simplify right side
    22,970.80x = 281,924,866.86
  5. Step 5: Solve for x
    x = 281,924,866.86/22,970.80
  6. Step 6: Final answer
    x = 12,273.18

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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.