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Finding the Fourth Proportional to 16,416.87, 24,621.66 and 7,647

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Solution

The fourth proportional to 16,416.87, 24,621.66 and 7,647 is: 11,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.87 : 24,621.66 = 7,647 : x
  2. Step 2: Convert to fraction form
    16,416.87/24,621.66 = 7,647/x
  3. Step 3: Cross multiply
    16,416.87x = 24,621.66 × 7,647
  4. Step 4: Simplify right side
    16,416.87x = 188,281,834.02
  5. Step 5: Solve for x
    x = 188,281,834.02/16,416.87
  6. Step 6: Final answer
    x = 11,468.80

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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.