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Finding the Fourth Proportional to 16,003.53, 23,973.15 and 7,974.08

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Solution

The fourth proportional to 16,003.53, 23,973.15 and 7,974.08 is: 11,945.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.53 : 23,973.15 = 7,974.08 : x
  2. Step 2: Convert to fraction form
    16,003.53/23,973.15 = 7,974.08/x
  3. Step 3: Cross multiply
    16,003.53x = 23,973.15 × 7,974.08
  4. Step 4: Simplify right side
    16,003.53x = 191,163,771.03
  5. Step 5: Solve for x
    x = 191,163,771.03/16,003.53
  6. Step 6: Final answer
    x = 11,945.10

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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.