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Finding the Fourth Proportional to 15,228, 22,842 and 5,994

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Solution

The fourth proportional to 15,228, 22,842 and 5,994 is: 8,991

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,228 : 22,842 = 5,994 : x
  2. Step 2: Convert to fraction form
    15,228/22,842 = 5,994/x
  3. Step 3: Cross multiply
    15,228x = 22,842 × 5,994
  4. Step 4: Simplify right side
    15,228x = 136,914,948
  5. Step 5: Solve for x
    x = 136,914,948/15,228
  6. Step 6: Final answer
    x = 8,991

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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.