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Finding the Fourth Proportional to 22,392.72, 33,538.02 and 10,714.20

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Solution

The fourth proportional to 22,392.72, 33,538.02 and 10,714.20 is: 16,046.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,392.72 : 33,538.02 = 10,714.20 : x
  2. Step 2: Convert to fraction form
    22,392.72/33,538.02 = 10,714.20/x
  3. Step 3: Cross multiply
    22,392.72x = 33,538.02 × 10,714.20
  4. Step 4: Simplify right side
    22,392.72x = 359,333,053.88
  5. Step 5: Solve for x
    x = 359,333,053.88/22,392.72
  6. Step 6: Final answer
    x = 16,046.87

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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.