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Finding the Fourth Proportional to 22,472.58, 33,714.81 and 7,681.44

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Solution

The fourth proportional to 22,472.58, 33,714.81 and 7,681.44 is: 11,524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.58 : 33,714.81 = 7,681.44 : x
  2. Step 2: Convert to fraction form
    22,472.58/33,714.81 = 7,681.44/x
  3. Step 3: Cross multiply
    22,472.58x = 33,714.81 × 7,681.44
  4. Step 4: Simplify right side
    22,472.58x = 258,978,290.13
  5. Step 5: Solve for x
    x = 258,978,290.13/22,472.58
  6. Step 6: Final answer
    x = 11,524.19

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1.5x scale

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.