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Finding the Fourth Proportional to 17,627.21, 24,325.97 and 9,669.56

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Solution

The fourth proportional to 17,627.21, 24,325.97 and 9,669.56 is: 13,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627.21 : 24,325.97 = 9,669.56 : x
  2. Step 2: Convert to fraction form
    17,627.21/24,325.97 = 9,669.56/x
  3. Step 3: Cross multiply
    17,627.21x = 24,325.97 × 9,669.56
  4. Step 4: Simplify right side
    17,627.21x = 235,221,256.50
  5. Step 5: Solve for x
    x = 235,221,256.50/17,627.21
  6. Step 6: Final answer
    x = 13,344.22

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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.