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Finding the Fourth Proportional to 15,166, 22,752.42 and 5,932

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Solution

The fourth proportional to 15,166, 22,752.42 and 5,932 is: 8,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,166 : 22,752.42 = 5,932 : x
  2. Step 2: Convert to fraction form
    15,166/22,752.42 = 5,932/x
  3. Step 3: Cross multiply
    15,166x = 22,752.42 × 5,932
  4. Step 4: Simplify right side
    15,166x = 134,967,355.44
  5. Step 5: Solve for x
    x = 134,967,355.44/15,166
  6. Step 6: Final answer
    x = 8,899.34

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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.