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Finding the Fourth Proportional to 14,562, 21,847.64 and 5,201.84

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Solution

The fourth proportional to 14,562, 21,847.64 and 5,201.84 is: 7,804.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562 : 21,847.64 = 5,201.84 : x
  2. Step 2: Convert to fraction form
    14,562/21,847.64 = 5,201.84/x
  3. Step 3: Cross multiply
    14,562x = 21,847.64 × 5,201.84
  4. Step 4: Simplify right side
    14,562x = 113,647,927.66
  5. Step 5: Solve for x
    x = 113,647,927.66/14,562
  6. Step 6: Final answer
    x = 7,804.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.