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Finding the Fourth Proportional to 12,767.69, 19,138.33 and 4,868.08

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Solution

The fourth proportional to 12,767.69, 19,138.33 and 4,868.08 is: 7,297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.69 : 19,138.33 = 4,868.08 : x
  2. Step 2: Convert to fraction form
    12,767.69/19,138.33 = 4,868.08/x
  3. Step 3: Cross multiply
    12,767.69x = 19,138.33 × 4,868.08
  4. Step 4: Simplify right side
    12,767.69x = 93,167,002.40
  5. Step 5: Solve for x
    x = 93,167,002.40/12,767.69
  6. Step 6: Final answer
    x = 7,297.09

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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.