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Finding the Fourth Proportional to 22,713.44, 34,076 and 7,131.20

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Solution

The fourth proportional to 22,713.44, 34,076 and 7,131.20 is: 10,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,713.44 : 34,076 = 7,131.20 : x
  2. Step 2: Convert to fraction form
    22,713.44/34,076 = 7,131.20/x
  3. Step 3: Cross multiply
    22,713.44x = 34,076 × 7,131.20
  4. Step 4: Simplify right side
    22,713.44x = 243,002,771.20
  5. Step 5: Solve for x
    x = 243,002,771.20/22,713.44
  6. Step 6: Final answer
    x = 10,698.63

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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.