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Finding the Fourth Proportional to 16,662.25, 24,996.87 and 4,816

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Solution

The fourth proportional to 16,662.25, 24,996.87 and 4,816 is: 7,225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,662.25 : 24,996.87 = 4,816 : x
  2. Step 2: Convert to fraction form
    16,662.25/24,996.87 = 4,816/x
  3. Step 3: Cross multiply
    16,662.25x = 24,996.87 × 4,816
  4. Step 4: Simplify right side
    16,662.25x = 120,384,925.92
  5. Step 5: Solve for x
    x = 120,384,925.92/16,662.25
  6. Step 6: Final answer
    x = 7,225.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.