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Finding the Fourth Proportional to 14,419, 19,898.24 and 7,795

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Solution

The fourth proportional to 14,419, 19,898.24 and 7,795 is: 10,757.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419 : 19,898.24 = 7,795 : x
  2. Step 2: Convert to fraction form
    14,419/19,898.24 = 7,795/x
  3. Step 3: Cross multiply
    14,419x = 19,898.24 × 7,795
  4. Step 4: Simplify right side
    14,419x = 155,106,780.80
  5. Step 5: Solve for x
    x = 155,106,780.80/14,419
  6. Step 6: Final answer
    x = 10,757.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.