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Finding the Fourth Proportional to 20,005.90, 30,009.19 and 6,867.50

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Solution

The fourth proportional to 20,005.90, 30,009.19 and 6,867.50 is: 10,301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005.90 : 30,009.19 = 6,867.50 : x
  2. Step 2: Convert to fraction form
    20,005.90/30,009.19 = 6,867.50/x
  3. Step 3: Cross multiply
    20,005.90x = 30,009.19 × 6,867.50
  4. Step 4: Simplify right side
    20,005.90x = 206,088,112.33
  5. Step 5: Solve for x
    x = 206,088,112.33/20,005.90
  6. Step 6: Final answer
    x = 10,301.37

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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.