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Finding the Fourth Proportional to 16,447.87, 24,675.45 and 7,678

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Solution

The fourth proportional to 16,447.87, 24,675.45 and 7,678 is: 11,518.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.87 : 24,675.45 = 7,678 : x
  2. Step 2: Convert to fraction form
    16,447.87/24,675.45 = 7,678/x
  3. Step 3: Cross multiply
    16,447.87x = 24,675.45 × 7,678
  4. Step 4: Simplify right side
    16,447.87x = 189,458,105.10
  5. Step 5: Solve for x
    x = 189,458,105.10/16,447.87
  6. Step 6: Final answer
    x = 11,518.70

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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.