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Finding the Fourth Proportional to 22,304, 33,471.36 and 7,712

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Solution

The fourth proportional to 22,304, 33,471.36 and 7,712 is: 11,573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,304 : 33,471.36 = 7,712 : x
  2. Step 2: Convert to fraction form
    22,304/33,471.36 = 7,712/x
  3. Step 3: Cross multiply
    22,304x = 33,471.36 × 7,712
  4. Step 4: Simplify right side
    22,304x = 258,131,128.32
  5. Step 5: Solve for x
    x = 258,131,128.32/22,304
  6. Step 6: Final answer
    x = 11,573.31

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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.