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Finding the Fourth Proportional to 16,004.98, 24,001.39 and 7,682.64

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Solution

The fourth proportional to 16,004.98, 24,001.39 and 7,682.64 is: 11,521.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,004.98 : 24,001.39 = 7,682.64 : x
  2. Step 2: Convert to fraction form
    16,004.98/24,001.39 = 7,682.64/x
  3. Step 3: Cross multiply
    16,004.98x = 24,001.39 × 7,682.64
  4. Step 4: Simplify right side
    16,004.98x = 184,394,038.87
  5. Step 5: Solve for x
    x = 184,394,038.87/16,004.98
  6. Step 6: Final answer
    x = 11,521.04

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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.