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Finding the Fourth Proportional to 13,946.73, 20,921.93 and 5,180.51

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Solution

The fourth proportional to 13,946.73, 20,921.93 and 5,180.51 is: 7,771.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946.73 : 20,921.93 = 5,180.51 : x
  2. Step 2: Convert to fraction form
    13,946.73/20,921.93 = 5,180.51/x
  3. Step 3: Cross multiply
    13,946.73x = 20,921.93 × 5,180.51
  4. Step 4: Simplify right side
    13,946.73x = 108,386,137.07
  5. Step 5: Solve for x
    x = 108,386,137.07/13,946.73
  6. Step 6: Final answer
    x = 7,771.44

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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.