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Finding the Fourth Proportional to 22,476.20, 33,714.30 and 7,683.80

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Solution

The fourth proportional to 22,476.20, 33,714.30 and 7,683.80 is: 11,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,476.20 : 33,714.30 = 7,683.80 : x
  2. Step 2: Convert to fraction form
    22,476.20/33,714.30 = 7,683.80/x
  3. Step 3: Cross multiply
    22,476.20x = 33,714.30 × 7,683.80
  4. Step 4: Simplify right side
    22,476.20x = 259,053,938.34
  5. Step 5: Solve for x
    x = 259,053,938.34/22,476.20
  6. Step 6: Final answer
    x = 11,525.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.