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Finding the Fourth Proportional to 17,708.96, 24,438.24 and 9,751.01

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Solution

The fourth proportional to 17,708.96, 24,438.24 and 9,751.01 is: 13,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,708.96 : 24,438.24 = 9,751.01 : x
  2. Step 2: Convert to fraction form
    17,708.96/24,438.24 = 9,751.01/x
  3. Step 3: Cross multiply
    17,708.96x = 24,438.24 × 9,751.01
  4. Step 4: Simplify right side
    17,708.96x = 238,297,522.62
  5. Step 5: Solve for x
    x = 238,297,522.62/17,708.96
  6. Step 6: Final answer
    x = 13,456.33

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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.