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Finding the Fourth Proportional to 14,562, 21,837.45 and 5,200.27

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Solution

The fourth proportional to 14,562, 21,837.45 and 5,200.27 is: 7,798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562 : 21,837.45 = 5,200.27 : x
  2. Step 2: Convert to fraction form
    14,562/21,837.45 = 5,200.27/x
  3. Step 3: Cross multiply
    14,562x = 21,837.45 × 5,200.27
  4. Step 4: Simplify right side
    14,562x = 113,560,636.11
  5. Step 5: Solve for x
    x = 113,560,636.11/14,562
  6. Step 6: Final answer
    x = 7,798.42

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