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Finding the Fourth Proportional to 15,131.94, 22,649.38 and 8,094.36

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Solution

The fourth proportional to 15,131.94, 22,649.38 and 8,094.36 is: 12,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,131.94 : 22,649.38 = 8,094.36 : x
  2. Step 2: Convert to fraction form
    15,131.94/22,649.38 = 8,094.36/x
  3. Step 3: Cross multiply
    15,131.94x = 22,649.38 × 8,094.36
  4. Step 4: Simplify right side
    15,131.94x = 183,332,235.50
  5. Step 5: Solve for x
    x = 183,332,235.50/15,131.94
  6. Step 6: Final answer
    x = 12,115.58

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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.