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Finding the Fourth Proportional to 12,847.50, 19,287.45 and 11,103.57

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Solution

The fourth proportional to 12,847.50, 19,287.45 and 11,103.57 is: 16,669.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.50 : 19,287.45 = 11,103.57 : x
  2. Step 2: Convert to fraction form
    12,847.50/19,287.45 = 11,103.57/x
  3. Step 3: Cross multiply
    12,847.50x = 19,287.45 × 11,103.57
  4. Step 4: Simplify right side
    12,847.50x = 214,159,551.20
  5. Step 5: Solve for x
    x = 214,159,551.20/12,847.50
  6. Step 6: Final answer
    x = 16,669.36

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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.