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Finding the Fourth Proportional to 20,802.26, 31,203.31 and 5,219.88

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Solution

The fourth proportional to 20,802.26, 31,203.31 and 5,219.88 is: 7,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.26 : 31,203.31 = 5,219.88 : x
  2. Step 2: Convert to fraction form
    20,802.26/31,203.31 = 5,219.88/x
  3. Step 3: Cross multiply
    20,802.26x = 31,203.31 × 5,219.88
  4. Step 4: Simplify right side
    20,802.26x = 162,877,533.80
  5. Step 5: Solve for x
    x = 162,877,533.80/20,802.26
  6. Step 6: Final answer
    x = 7,829.80

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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.