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Finding the Fourth Proportional to 12,703.80, 19,055.70 and 3,469.80

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Solution

The fourth proportional to 12,703.80, 19,055.70 and 3,469.80 is: 5,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.80 : 19,055.70 = 3,469.80 : x
  2. Step 2: Convert to fraction form
    12,703.80/19,055.70 = 3,469.80/x
  3. Step 3: Cross multiply
    12,703.80x = 19,055.70 × 3,469.80
  4. Step 4: Simplify right side
    12,703.80x = 66,119,467.86
  5. Step 5: Solve for x
    x = 66,119,467.86/12,703.80
  6. Step 6: Final answer
    x = 5,204.70

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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.