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Finding the Fourth Proportional to 19,549, 29,328.36 and 5,698

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Solution

The fourth proportional to 19,549, 29,328.36 and 5,698 is: 8,548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,549 : 29,328.36 = 5,698 : x
  2. Step 2: Convert to fraction form
    19,549/29,328.36 = 5,698/x
  3. Step 3: Cross multiply
    19,549x = 29,328.36 × 5,698
  4. Step 4: Simplify right side
    19,549x = 167,112,995.28
  5. Step 5: Solve for x
    x = 167,112,995.28/19,549
  6. Step 6: Final answer
    x = 8,548.42

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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.