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Finding the Fourth Proportional to 15,132, 22,698.60 and 5,272.27

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Solution

The fourth proportional to 15,132, 22,698.60 and 5,272.27 is: 7,908.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,132 : 22,698.60 = 5,272.27 : x
  2. Step 2: Convert to fraction form
    15,132/22,698.60 = 5,272.27/x
  3. Step 3: Cross multiply
    15,132x = 22,698.60 × 5,272.27
  4. Step 4: Simplify right side
    15,132x = 119,673,147.82
  5. Step 5: Solve for x
    x = 119,673,147.82/15,132
  6. Step 6: Final answer
    x = 7,908.61

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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.