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Finding the Fourth Proportional to 20,802.05, 31,200 and 6,763.35

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Solution

The fourth proportional to 20,802.05, 31,200 and 6,763.35 is: 10,144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.05 : 31,200 = 6,763.35 : x
  2. Step 2: Convert to fraction form
    20,802.05/31,200 = 6,763.35/x
  3. Step 3: Cross multiply
    20,802.05x = 31,200 × 6,763.35
  4. Step 4: Simplify right side
    20,802.05x = 211,016,520
  5. Step 5: Solve for x
    x = 211,016,520/20,802.05
  6. Step 6: Final answer
    x = 10,144.03

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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.