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Finding the Fourth Proportional to 14,797.92, 22,192 and 4,934.48

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Solution

The fourth proportional to 14,797.92, 22,192 and 4,934.48 is: 7,400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797.92 : 22,192 = 4,934.48 : x
  2. Step 2: Convert to fraction form
    14,797.92/22,192 = 4,934.48/x
  3. Step 3: Cross multiply
    14,797.92x = 22,192 × 4,934.48
  4. Step 4: Simplify right side
    14,797.92x = 109,505,980.16
  5. Step 5: Solve for x
    x = 109,505,980.16/14,797.92
  6. Step 6: Final answer
    x = 7,400.09

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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.