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Finding the Fourth Proportional to 20,007.34, 29,983.32 and 7,514.82

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Solution

The fourth proportional to 20,007.34, 29,983.32 and 7,514.82 is: 11,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,007.34 : 29,983.32 = 7,514.82 : x
  2. Step 2: Convert to fraction form
    20,007.34/29,983.32 = 7,514.82/x
  3. Step 3: Cross multiply
    20,007.34x = 29,983.32 × 7,514.82
  4. Step 4: Simplify right side
    20,007.34x = 225,319,252.80
  5. Step 5: Solve for x
    x = 225,319,252.80/20,007.34
  6. Step 6: Final answer
    x = 11,261.83

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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.