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Finding the Fourth Proportional to 15,192.16, 22,786.41 and 4,097.99

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Solution

The fourth proportional to 15,192.16, 22,786.41 and 4,097.99 is: 6,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,192.16 : 22,786.41 = 4,097.99 : x
  2. Step 2: Convert to fraction form
    15,192.16/22,786.41 = 4,097.99/x
  3. Step 3: Cross multiply
    15,192.16x = 22,786.41 × 4,097.99
  4. Step 4: Simplify right side
    15,192.16x = 93,378,480.32
  5. Step 5: Solve for x
    x = 93,378,480.32/15,192.16
  6. Step 6: Final answer
    x = 6,146.49

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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.