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Finding the Fourth Proportional to 19,654.80, 29,493 and 9,266.28

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Solution

The fourth proportional to 19,654.80, 29,493 and 9,266.28 is: 13,904.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654.80 : 29,493 = 9,266.28 : x
  2. Step 2: Convert to fraction form
    19,654.80/29,493 = 9,266.28/x
  3. Step 3: Cross multiply
    19,654.80x = 29,493 × 9,266.28
  4. Step 4: Simplify right side
    19,654.80x = 273,290,396.04
  5. Step 5: Solve for x
    x = 273,290,396.04/19,654.80
  6. Step 6: Final answer
    x = 13,904.51

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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.