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Finding the Fourth Proportional to 20,005.58, 30,009.83 and 6,857.84

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Solution

The fourth proportional to 20,005.58, 30,009.83 and 6,857.84 is: 10,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005.58 : 30,009.83 = 6,857.84 : x
  2. Step 2: Convert to fraction form
    20,005.58/30,009.83 = 6,857.84/x
  3. Step 3: Cross multiply
    20,005.58x = 30,009.83 × 6,857.84
  4. Step 4: Simplify right side
    20,005.58x = 205,802,612.57
  5. Step 5: Solve for x
    x = 205,802,612.57/20,005.58
  6. Step 6: Final answer
    x = 10,287.26

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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.