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Finding the Fourth Proportional to 15,169.50, 22,758.09 and 4,225.50

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Solution

The fourth proportional to 15,169.50, 22,758.09 and 4,225.50 is: 6,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,169.50 : 22,758.09 = 4,225.50 : x
  2. Step 2: Convert to fraction form
    15,169.50/22,758.09 = 4,225.50/x
  3. Step 3: Cross multiply
    15,169.50x = 22,758.09 × 4,225.50
  4. Step 4: Simplify right side
    15,169.50x = 96,164,309.30
  5. Step 5: Solve for x
    x = 96,164,309.30/15,169.50
  6. Step 6: Final answer
    x = 6,339.32

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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.