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Finding the Fourth Proportional to 15,299.67, 22,949.76 and 4,206.29

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Solution

The fourth proportional to 15,299.67, 22,949.76 and 4,206.29 is: 6,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,299.67 : 22,949.76 = 4,206.29 : x
  2. Step 2: Convert to fraction form
    15,299.67/22,949.76 = 4,206.29/x
  3. Step 3: Cross multiply
    15,299.67x = 22,949.76 × 4,206.29
  4. Step 4: Simplify right side
    15,299.67x = 96,533,231.24
  5. Step 5: Solve for x
    x = 96,533,231.24/15,299.67
  6. Step 6: Final answer
    x = 6,309.50

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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.