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Finding the Fourth Proportional to 22,794.89, 34,159.52 and 9,629.15

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Solution

The fourth proportional to 22,794.89, 34,159.52 and 9,629.15 is: 14,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,794.89 : 34,159.52 = 9,629.15 : x
  2. Step 2: Convert to fraction form
    22,794.89/34,159.52 = 9,629.15/x
  3. Step 3: Cross multiply
    22,794.89x = 34,159.52 × 9,629.15
  4. Step 4: Simplify right side
    22,794.89x = 328,926,995.28
  5. Step 5: Solve for x
    x = 328,926,995.28/22,794.89
  6. Step 6: Final answer
    x = 14,429.86

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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.