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Finding the Fourth Proportional to 15,229.44, 22,844.16 and 4,842

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Solution

The fourth proportional to 15,229.44, 22,844.16 and 4,842 is: 7,263

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,229.44 : 22,844.16 = 4,842 : x
  2. Step 2: Convert to fraction form
    15,229.44/22,844.16 = 4,842/x
  3. Step 3: Cross multiply
    15,229.44x = 22,844.16 × 4,842
  4. Step 4: Simplify right side
    15,229.44x = 110,611,422.72
  5. Step 5: Solve for x
    x = 110,611,422.72/15,229.44
  6. Step 6: Final answer
    x = 7,263

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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.