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Finding the Fourth Proportional to 20,001.96, 30,007.42 and 7,689.64

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Solution

The fourth proportional to 20,001.96, 30,007.42 and 7,689.64 is: 11,536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,001.96 : 30,007.42 = 7,689.64 : x
  2. Step 2: Convert to fraction form
    20,001.96/30,007.42 = 7,689.64/x
  3. Step 3: Cross multiply
    20,001.96x = 30,007.42 × 7,689.64
  4. Step 4: Simplify right side
    20,001.96x = 230,746,257.13
  5. Step 5: Solve for x
    x = 230,746,257.13/20,001.96
  6. Step 6: Final answer
    x = 11,536.18

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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.