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Finding the Fourth Proportional to 22,844.70, 34,254.90 and 9,682.20

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Solution

The fourth proportional to 22,844.70, 34,254.90 and 9,682.20 is: 14,518.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,844.70 : 34,254.90 = 9,682.20 : x
  2. Step 2: Convert to fraction form
    22,844.70/34,254.90 = 9,682.20/x
  3. Step 3: Cross multiply
    22,844.70x = 34,254.90 × 9,682.20
  4. Step 4: Simplify right side
    22,844.70x = 331,662,792.78
  5. Step 5: Solve for x
    x = 331,662,792.78/22,844.70
  6. Step 6: Final answer
    x = 14,518.15

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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.