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Finding the Fourth Proportional to 16,033.36, 24,017.37 and 7,687.93

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Solution

The fourth proportional to 16,033.36, 24,017.37 and 7,687.93 is: 11,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,033.36 : 24,017.37 = 7,687.93 : x
  2. Step 2: Convert to fraction form
    16,033.36/24,017.37 = 7,687.93/x
  3. Step 3: Cross multiply
    16,033.36x = 24,017.37 × 7,687.93
  4. Step 4: Simplify right side
    16,033.36x = 184,643,859.34
  5. Step 5: Solve for x
    x = 184,643,859.34/16,033.36
  6. Step 6: Final answer
    x = 11,516.23

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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.