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Finding the Fourth Proportional to 17,604.56, 24,294.31 and 9,647.08

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Solution

The fourth proportional to 17,604.56, 24,294.31 and 9,647.08 is: 13,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,604.56 : 24,294.31 = 9,647.08 : x
  2. Step 2: Convert to fraction form
    17,604.56/24,294.31 = 9,647.08/x
  3. Step 3: Cross multiply
    17,604.56x = 24,294.31 × 9,647.08
  4. Step 4: Simplify right side
    17,604.56x = 234,369,067.26
  5. Step 5: Solve for x
    x = 234,369,067.26/17,604.56
  6. Step 6: Final answer
    x = 13,312.97

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1.5x scale

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.