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Finding the Fourth Proportional to 24,303, 33,546.78 and 16,855.32

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Solution

The fourth proportional to 24,303, 33,546.78 and 16,855.32 is: 23,266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,303 : 33,546.78 = 16,855.32 : x
  2. Step 2: Convert to fraction form
    24,303/33,546.78 = 16,855.32/x
  3. Step 3: Cross multiply
    24,303x = 33,546.78 × 16,855.32
  4. Step 4: Simplify right side
    24,303x = 565,441,711.87
  5. Step 5: Solve for x
    x = 565,441,711.87/24,303
  6. Step 6: Final answer
    x = 23,266.33

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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.