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Finding the Fourth Proportional to 24,633.84, 36,946.32 and 7,099.36

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Solution

The fourth proportional to 24,633.84, 36,946.32 and 7,099.36 is: 10,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,633.84 : 36,946.32 = 7,099.36 : x
  2. Step 2: Convert to fraction form
    24,633.84/36,946.32 = 7,099.36/x
  3. Step 3: Cross multiply
    24,633.84x = 36,946.32 × 7,099.36
  4. Step 4: Simplify right side
    24,633.84x = 262,295,226.36
  5. Step 5: Solve for x
    x = 262,295,226.36/24,633.84
  6. Step 6: Final answer
    x = 10,647.76

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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.