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Finding the Fourth Proportional to 13,929.70, 20,913.09 and 8,090.50

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Solution

The fourth proportional to 13,929.70, 20,913.09 and 8,090.50 is: 12,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929.70 : 20,913.09 = 8,090.50 : x
  2. Step 2: Convert to fraction form
    13,929.70/20,913.09 = 8,090.50/x
  3. Step 3: Cross multiply
    13,929.70x = 20,913.09 × 8,090.50
  4. Step 4: Simplify right side
    13,929.70x = 169,197,354.65
  5. Step 5: Solve for x
    x = 169,197,354.65/13,929.70
  6. Step 6: Final answer
    x = 12,146.52

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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.