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Finding the Fourth Proportional to 16,005.72, 24,020.41 and 7,690.56

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Solution

The fourth proportional to 16,005.72, 24,020.41 and 7,690.56 is: 11,541.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.72 : 24,020.41 = 7,690.56 : x
  2. Step 2: Convert to fraction form
    16,005.72/24,020.41 = 7,690.56/x
  3. Step 3: Cross multiply
    16,005.72x = 24,020.41 × 7,690.56
  4. Step 4: Simplify right side
    16,005.72x = 184,730,404.33
  5. Step 5: Solve for x
    x = 184,730,404.33/16,005.72
  6. Step 6: Final answer
    x = 11,541.52

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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.