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Finding the Fourth Proportional to 18,573.26, 27,868.98 and 9,214.16

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Solution

The fourth proportional to 18,573.26, 27,868.98 and 9,214.16 is: 13,825.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,573.26 : 27,868.98 = 9,214.16 : x
  2. Step 2: Convert to fraction form
    18,573.26/27,868.98 = 9,214.16/x
  3. Step 3: Cross multiply
    18,573.26x = 27,868.98 × 9,214.16
  4. Step 4: Simplify right side
    18,573.26x = 256,789,240.76
  5. Step 5: Solve for x
    x = 256,789,240.76/18,573.26
  6. Step 6: Final answer
    x = 13,825.75

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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.