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Finding the Fourth Proportional to 22,850.50, 34,280.79 and 9,714.10

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Solution

The fourth proportional to 22,850.50, 34,280.79 and 9,714.10 is: 14,573.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,850.50 : 34,280.79 = 9,714.10 : x
  2. Step 2: Convert to fraction form
    22,850.50/34,280.79 = 9,714.10/x
  3. Step 3: Cross multiply
    22,850.50x = 34,280.79 × 9,714.10
  4. Step 4: Simplify right side
    22,850.50x = 333,007,022.14
  5. Step 5: Solve for x
    x = 333,007,022.14/22,850.50
  6. Step 6: Final answer
    x = 14,573.29

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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.