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Finding the Fourth Proportional to 20,903.90, 31,362.39 and 6,864.03

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Solution

The fourth proportional to 20,903.90, 31,362.39 and 6,864.03 is: 10,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,903.90 : 31,362.39 = 6,864.03 : x
  2. Step 2: Convert to fraction form
    20,903.90/31,362.39 = 6,864.03/x
  3. Step 3: Cross multiply
    20,903.90x = 31,362.39 × 6,864.03
  4. Step 4: Simplify right side
    20,903.90x = 215,272,385.83
  5. Step 5: Solve for x
    x = 215,272,385.83/20,903.90
  6. Step 6: Final answer
    x = 10,298.19

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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.