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Finding the Fourth Proportional to 17,806.80, 24,574.77 and 9,849.77

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Solution

The fourth proportional to 17,806.80, 24,574.77 and 9,849.77 is: 13,593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.80 : 24,574.77 = 9,849.77 : x
  2. Step 2: Convert to fraction form
    17,806.80/24,574.77 = 9,849.77/x
  3. Step 3: Cross multiply
    17,806.80x = 24,574.77 × 9,849.77
  4. Step 4: Simplify right side
    17,806.80x = 242,055,709.43
  5. Step 5: Solve for x
    x = 242,055,709.43/17,806.80
  6. Step 6: Final answer
    x = 13,593.44

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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.