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Finding the Fourth Proportional to 20,005.68, 30,009.04 and 6,858

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Solution

The fourth proportional to 20,005.68, 30,009.04 and 6,858 is: 10,287.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005.68 : 30,009.04 = 6,858 : x
  2. Step 2: Convert to fraction form
    20,005.68/30,009.04 = 6,858/x
  3. Step 3: Cross multiply
    20,005.68x = 30,009.04 × 6,858
  4. Step 4: Simplify right side
    20,005.68x = 205,801,996.32
  5. Step 5: Solve for x
    x = 205,801,996.32/20,005.68
  6. Step 6: Final answer
    x = 10,287.18

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Why These Related Problems?

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