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Finding the Fourth Proportional to 20,703.36, 31,035 and 8,219.28

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Solution

The fourth proportional to 20,703.36, 31,035 and 8,219.28 is: 12,320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,703.36 : 31,035 = 8,219.28 : x
  2. Step 2: Convert to fraction form
    20,703.36/31,035 = 8,219.28/x
  3. Step 3: Cross multiply
    20,703.36x = 31,035 × 8,219.28
  4. Step 4: Simplify right side
    20,703.36x = 255,085,354.80
  5. Step 5: Solve for x
    x = 255,085,354.80/20,703.36
  6. Step 6: Final answer
    x = 12,320.96

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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.