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Finding the Fourth Proportional to 15,509.73, 23,227.47 and 8,479.20

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Solution

The fourth proportional to 15,509.73, 23,227.47 and 8,479.20 is: 12,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.73 : 23,227.47 = 8,479.20 : x
  2. Step 2: Convert to fraction form
    15,509.73/23,227.47 = 8,479.20/x
  3. Step 3: Cross multiply
    15,509.73x = 23,227.47 × 8,479.20
  4. Step 4: Simplify right side
    15,509.73x = 196,950,363.62
  5. Step 5: Solve for x
    x = 196,950,363.62/15,509.73
  6. Step 6: Final answer
    x = 12,698.50

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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.