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Finding the Fourth Proportional to 13,872.67, 20,802.83 and 4,009.60

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Solution

The fourth proportional to 13,872.67, 20,802.83 and 4,009.60 is: 6,012.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.67 : 20,802.83 = 4,009.60 : x
  2. Step 2: Convert to fraction form
    13,872.67/20,802.83 = 4,009.60/x
  3. Step 3: Cross multiply
    13,872.67x = 20,802.83 × 4,009.60
  4. Step 4: Simplify right side
    13,872.67x = 83,411,033.12
  5. Step 5: Solve for x
    x = 83,411,033.12/13,872.67
  6. Step 6: Final answer
    x = 6,012.62

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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.