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Finding the Fourth Proportional to 15,184.66, 20,953.38 and 8,469.76

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Solution

The fourth proportional to 15,184.66, 20,953.38 and 8,469.76 is: 11,687.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,184.66 : 20,953.38 = 8,469.76 : x
  2. Step 2: Convert to fraction form
    15,184.66/20,953.38 = 8,469.76/x
  3. Step 3: Cross multiply
    15,184.66x = 20,953.38 × 8,469.76
  4. Step 4: Simplify right side
    15,184.66x = 177,470,099.79
  5. Step 5: Solve for x
    x = 177,470,099.79/15,184.66
  6. Step 6: Final answer
    x = 11,687.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.