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Finding the Fourth Proportional to 13,869.08, 20,798.08 and 8,029.80

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Solution

The fourth proportional to 13,869.08, 20,798.08 and 8,029.80 is: 12,041.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869.08 : 20,798.08 = 8,029.80 : x
  2. Step 2: Convert to fraction form
    13,869.08/20,798.08 = 8,029.80/x
  3. Step 3: Cross multiply
    13,869.08x = 20,798.08 × 8,029.80
  4. Step 4: Simplify right side
    13,869.08x = 167,004,422.78
  5. Step 5: Solve for x
    x = 167,004,422.78/13,869.08
  6. Step 6: Final answer
    x = 12,041.49

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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.