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Finding the Fourth Proportional to 14,102.20, 19,769 and 14,102.20

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Solution

The fourth proportional to 14,102.20, 19,769 and 14,102.20 is: 19,769

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.20 : 19,769 = 14,102.20 : x
  2. Step 2: Convert to fraction form
    14,102.20/19,769 = 14,102.20/x
  3. Step 3: Cross multiply
    14,102.20x = 19,769 × 14,102.20
  4. Step 4: Simplify right side
    14,102.20x = 278,786,391.80
  5. Step 5: Solve for x
    x = 278,786,391.80/14,102.20
  6. Step 6: Final answer
    x = 19,769

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.