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Finding the Fourth Proportional to 15,858.23, 21,883.77 and 9,144.14

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Solution

The fourth proportional to 15,858.23, 21,883.77 and 9,144.14 is: 12,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,858.23 : 21,883.77 = 9,144.14 : x
  2. Step 2: Convert to fraction form
    15,858.23/21,883.77 = 9,144.14/x
  3. Step 3: Cross multiply
    15,858.23x = 21,883.77 × 9,144.14
  4. Step 4: Simplify right side
    15,858.23x = 200,108,147.19
  5. Step 5: Solve for x
    x = 200,108,147.19/15,858.23
  6. Step 6: Final answer
    x = 12,618.57

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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.