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Finding the Fourth Proportional to 22,699.50, 34,049.49 and 6,283.50

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Solution

The fourth proportional to 22,699.50, 34,049.49 and 6,283.50 is: 9,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,699.50 : 34,049.49 = 6,283.50 : x
  2. Step 2: Convert to fraction form
    22,699.50/34,049.49 = 6,283.50/x
  3. Step 3: Cross multiply
    22,699.50x = 34,049.49 × 6,283.50
  4. Step 4: Simplify right side
    22,699.50x = 213,949,970.42
  5. Step 5: Solve for x
    x = 213,949,970.42/22,699.50
  6. Step 6: Final answer
    x = 9,425.32

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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.