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Finding the Fourth Proportional to 18,547.97, 27,822 and 5,400.66

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Solution

The fourth proportional to 18,547.97, 27,822 and 5,400.66 is: 8,101.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,547.97 : 27,822 = 5,400.66 : x
  2. Step 2: Convert to fraction form
    18,547.97/27,822 = 5,400.66/x
  3. Step 3: Cross multiply
    18,547.97x = 27,822 × 5,400.66
  4. Step 4: Simplify right side
    18,547.97x = 150,257,162.52
  5. Step 5: Solve for x
    x = 150,257,162.52/18,547.97
  6. Step 6: Final answer
    x = 8,101.01

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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.