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Finding the Fourth Proportional to 17,806.88, 24,573 and 9,849.44

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Solution

The fourth proportional to 17,806.88, 24,573 and 9,849.44 is: 13,591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.88 : 24,573 = 9,849.44 : x
  2. Step 2: Convert to fraction form
    17,806.88/24,573 = 9,849.44/x
  3. Step 3: Cross multiply
    17,806.88x = 24,573 × 9,849.44
  4. Step 4: Simplify right side
    17,806.88x = 242,030,289.12
  5. Step 5: Solve for x
    x = 242,030,289.12/17,806.88
  6. Step 6: Final answer
    x = 13,591.95

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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.