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Finding the Fourth Proportional to 17,424, 24,028.83 and 13,438.80

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Solution

The fourth proportional to 17,424, 24,028.83 and 13,438.80 is: 18,532.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,424 : 24,028.83 = 13,438.80 : x
  2. Step 2: Convert to fraction form
    17,424/24,028.83 = 13,438.80/x
  3. Step 3: Cross multiply
    17,424x = 24,028.83 × 13,438.80
  4. Step 4: Simplify right side
    17,424x = 322,918,640.60
  5. Step 5: Solve for x
    x = 322,918,640.60/17,424
  6. Step 6: Final answer
    x = 18,532.98

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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.