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Finding the Fourth Proportional to 18,462.74, 27,698.15 and 5,984.01

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Solution

The fourth proportional to 18,462.74, 27,698.15 and 5,984.01 is: 8,977.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,462.74 : 27,698.15 = 5,984.01 : x
  2. Step 2: Convert to fraction form
    18,462.74/27,698.15 = 5,984.01/x
  3. Step 3: Cross multiply
    18,462.74x = 27,698.15 × 5,984.01
  4. Step 4: Simplify right side
    18,462.74x = 165,746,021.54
  5. Step 5: Solve for x
    x = 165,746,021.54/18,462.74
  6. Step 6: Final answer
    x = 8,977.33

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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.