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Finding the Fourth Proportional to 20,802.17, 31,202.80 and 8,963.82

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Solution

The fourth proportional to 20,802.17, 31,202.80 and 8,963.82 is: 13,445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.17 : 31,202.80 = 8,963.82 : x
  2. Step 2: Convert to fraction form
    20,802.17/31,202.80 = 8,963.82/x
  3. Step 3: Cross multiply
    20,802.17x = 31,202.80 × 8,963.82
  4. Step 4: Simplify right side
    20,802.17x = 279,696,260.29
  5. Step 5: Solve for x
    x = 279,696,260.29/20,802.17
  6. Step 6: Final answer
    x = 13,445.53

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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.