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Finding the Fourth Proportional to 18,277, 25,222.26 and 9,893.50

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Solution

The fourth proportional to 18,277, 25,222.26 and 9,893.50 is: 13,653.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,277 : 25,222.26 = 9,893.50 : x
  2. Step 2: Convert to fraction form
    18,277/25,222.26 = 9,893.50/x
  3. Step 3: Cross multiply
    18,277x = 25,222.26 × 9,893.50
  4. Step 4: Simplify right side
    18,277x = 249,536,429.31
  5. Step 5: Solve for x
    x = 249,536,429.31/18,277
  6. Step 6: Final answer
    x = 13,653.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.