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Finding the Fourth Proportional to 22,990, 34,464.46 and 9,835.60

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Solution

The fourth proportional to 22,990, 34,464.46 and 9,835.60 is: 14,744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,990 : 34,464.46 = 9,835.60 : x
  2. Step 2: Convert to fraction form
    22,990/34,464.46 = 9,835.60/x
  3. Step 3: Cross multiply
    22,990x = 34,464.46 × 9,835.60
  4. Step 4: Simplify right side
    22,990x = 338,978,642.78
  5. Step 5: Solve for x
    x = 338,978,642.78/22,990
  6. Step 6: Final answer
    x = 14,744.61

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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.