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Finding the Fourth Proportional to 17,816.80, 24,586.80 and 9,858.80

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Solution

The fourth proportional to 17,816.80, 24,586.80 and 9,858.80 is: 13,604.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,816.80 : 24,586.80 = 9,858.80 : x
  2. Step 2: Convert to fraction form
    17,816.80/24,586.80 = 9,858.80/x
  3. Step 3: Cross multiply
    17,816.80x = 24,586.80 × 9,858.80
  4. Step 4: Simplify right side
    17,816.80x = 242,396,343.84
  5. Step 5: Solve for x
    x = 242,396,343.84/17,816.80
  6. Step 6: Final answer
    x = 13,604.93

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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.