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Finding the Fourth Proportional to 16,003.57, 23,973.20 and 7,974.11

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Solution

The fourth proportional to 16,003.57, 23,973.20 and 7,974.11 is: 11,945.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.57 : 23,973.20 = 7,974.11 : x
  2. Step 2: Convert to fraction form
    16,003.57/23,973.20 = 7,974.11/x
  3. Step 3: Cross multiply
    16,003.57x = 23,973.20 × 7,974.11
  4. Step 4: Simplify right side
    16,003.57x = 191,164,983.88
  5. Step 5: Solve for x
    x = 191,164,983.88/16,003.57
  6. Step 6: Final answer
    x = 11,945.15

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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.