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Finding the Fourth Proportional to 12,629.84, 18,927.74 and 4,834.40

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Solution

The fourth proportional to 12,629.84, 18,927.74 and 4,834.40 is: 7,245.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,629.84 : 18,927.74 = 4,834.40 : x
  2. Step 2: Convert to fraction form
    12,629.84/18,927.74 = 4,834.40/x
  3. Step 3: Cross multiply
    12,629.84x = 18,927.74 × 4,834.40
  4. Step 4: Simplify right side
    12,629.84x = 91,504,147.45
  5. Step 5: Solve for x
    x = 91,504,147.45/12,629.84
  6. Step 6: Final answer
    x = 7,245.08

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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.