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Finding the Fourth Proportional to 20,802.78, 31,201.80 and 5,220.36

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Solution

The fourth proportional to 20,802.78, 31,201.80 and 5,220.36 is: 7,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.78 : 31,201.80 = 5,220.36 : x
  2. Step 2: Convert to fraction form
    20,802.78/31,201.80 = 5,220.36/x
  3. Step 3: Cross multiply
    20,802.78x = 31,201.80 × 5,220.36
  4. Step 4: Simplify right side
    20,802.78x = 162,884,628.65
  5. Step 5: Solve for x
    x = 162,884,628.65/20,802.78
  6. Step 6: Final answer
    x = 7,829.95

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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.