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Finding the Fourth Proportional to 17,584.21, 24,266.37 and 10,868.32

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Solution

The fourth proportional to 17,584.21, 24,266.37 and 10,868.32 is: 14,998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584.21 : 24,266.37 = 10,868.32 : x
  2. Step 2: Convert to fraction form
    17,584.21/24,266.37 = 10,868.32/x
  3. Step 3: Cross multiply
    17,584.21x = 24,266.37 × 10,868.32
  4. Step 4: Simplify right side
    17,584.21x = 263,734,674.40
  5. Step 5: Solve for x
    x = 263,734,674.40/17,584.21
  6. Step 6: Final answer
    x = 14,998.38

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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.