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Finding the Fourth Proportional to 17,406.90, 24,028.38 and 11,745

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Solution

The fourth proportional to 17,406.90, 24,028.38 and 11,745 is: 16,212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.90 : 24,028.38 = 11,745 : x
  2. Step 2: Convert to fraction form
    17,406.90/24,028.38 = 11,745/x
  3. Step 3: Cross multiply
    17,406.90x = 24,028.38 × 11,745
  4. Step 4: Simplify right side
    17,406.90x = 282,213,323.10
  5. Step 5: Solve for x
    x = 282,213,323.10/17,406.90
  6. Step 6: Final answer
    x = 16,212.73

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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.