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Finding the Fourth Proportional to 18,821.80, 25,975.62 and 10,441

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Solution

The fourth proportional to 18,821.80, 25,975.62 and 10,441 is: 14,409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,821.80 : 25,975.62 = 10,441 : x
  2. Step 2: Convert to fraction form
    18,821.80/25,975.62 = 10,441/x
  3. Step 3: Cross multiply
    18,821.80x = 25,975.62 × 10,441
  4. Step 4: Simplify right side
    18,821.80x = 271,211,448.42
  5. Step 5: Solve for x
    x = 271,211,448.42/18,821.80
  6. Step 6: Final answer
    x = 14,409.43

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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.