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Finding the Fourth Proportional to 17,706.36, 24,433.87 and 9,747.05

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Solution

The fourth proportional to 17,706.36, 24,433.87 and 9,747.05 is: 13,450.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.36 : 24,433.87 = 9,747.05 : x
  2. Step 2: Convert to fraction form
    17,706.36/24,433.87 = 9,747.05/x
  3. Step 3: Cross multiply
    17,706.36x = 24,433.87 × 9,747.05
  4. Step 4: Simplify right side
    17,706.36x = 238,158,152.58
  5. Step 5: Solve for x
    x = 238,158,152.58/17,706.36
  6. Step 6: Final answer
    x = 13,450.43

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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.