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Finding the Fourth Proportional to 17,813.88, 24,584.04 and 10,742.76

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Solution

The fourth proportional to 17,813.88, 24,584.04 and 10,742.76 is: 14,825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,813.88 : 24,584.04 = 10,742.76 : x
  2. Step 2: Convert to fraction form
    17,813.88/24,584.04 = 10,742.76/x
  3. Step 3: Cross multiply
    17,813.88x = 24,584.04 × 10,742.76
  4. Step 4: Simplify right side
    17,813.88x = 264,100,441.55
  5. Step 5: Solve for x
    x = 264,100,441.55/17,813.88
  6. Step 6: Final answer
    x = 14,825.54

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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.