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Finding the Fourth Proportional to 16,017.98, 24,029.46 and 7,696.44

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Solution

The fourth proportional to 16,017.98, 24,029.46 and 7,696.44 is: 11,545.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,017.98 : 24,029.46 = 7,696.44 : x
  2. Step 2: Convert to fraction form
    16,017.98/24,029.46 = 7,696.44/x
  3. Step 3: Cross multiply
    16,017.98x = 24,029.46 × 7,696.44
  4. Step 4: Simplify right side
    16,017.98x = 184,941,297.12
  5. Step 5: Solve for x
    x = 184,941,297.12/16,017.98
  6. Step 6: Final answer
    x = 11,545.86

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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.