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Finding the Fourth Proportional to 17,515.68, 24,173.05 and 9,964.30

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Solution

The fourth proportional to 17,515.68, 24,173.05 and 9,964.30 is: 13,751.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,515.68 : 24,173.05 = 9,964.30 : x
  2. Step 2: Convert to fraction form
    17,515.68/24,173.05 = 9,964.30/x
  3. Step 3: Cross multiply
    17,515.68x = 24,173.05 × 9,964.30
  4. Step 4: Simplify right side
    17,515.68x = 240,867,522.12
  5. Step 5: Solve for x
    x = 240,867,522.12/17,515.68
  6. Step 6: Final answer
    x = 13,751.54

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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.