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Finding the Fourth Proportional to 24,296.69, 36,362.74 and 14,942.64

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Solution

The fourth proportional to 24,296.69, 36,362.74 and 14,942.64 is: 22,363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,296.69 : 36,362.74 = 14,942.64 : x
  2. Step 2: Convert to fraction form
    24,296.69/36,362.74 = 14,942.64/x
  3. Step 3: Cross multiply
    24,296.69x = 36,362.74 × 14,942.64
  4. Step 4: Simplify right side
    24,296.69x = 543,355,204.97
  5. Step 5: Solve for x
    x = 543,355,204.97/24,296.69
  6. Step 6: Final answer
    x = 22,363.35

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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.