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Finding the Fourth Proportional to 20,873.97, 31,237.04 and 12,980.20

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Solution

The fourth proportional to 20,873.97, 31,237.04 and 12,980.20 is: 19,424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873.97 : 31,237.04 = 12,980.20 : x
  2. Step 2: Convert to fraction form
    20,873.97/31,237.04 = 12,980.20/x
  3. Step 3: Cross multiply
    20,873.97x = 31,237.04 × 12,980.20
  4. Step 4: Simplify right side
    20,873.97x = 405,463,026.61
  5. Step 5: Solve for x
    x = 405,463,026.61/20,873.97
  6. Step 6: Final answer
    x = 19,424.34

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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.