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Finding the Fourth Proportional to 17,821.84, 24,593.64 and 9,863.80

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Solution

The fourth proportional to 17,821.84, 24,593.64 and 9,863.80 is: 13,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.84 : 24,593.64 = 9,863.80 : x
  2. Step 2: Convert to fraction form
    17,821.84/24,593.64 = 9,863.80/x
  3. Step 3: Cross multiply
    17,821.84x = 24,593.64 × 9,863.80
  4. Step 4: Simplify right side
    17,821.84x = 242,586,746.23
  5. Step 5: Solve for x
    x = 242,586,746.23/17,821.84
  6. Step 6: Final answer
    x = 13,611.77

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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.