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Finding the Fourth Proportional to 13,866.43, 19,144.91 and 8,203.00

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Solution

The fourth proportional to 13,866.43, 19,144.91 and 8,203.00 is: 11,325.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.43 : 19,144.91 = 8,203.00 : x
  2. Step 2: Convert to fraction form
    13,866.43/19,144.91 = 8,203.00/x
  3. Step 3: Cross multiply
    13,866.43x = 19,144.91 × 8,203.00
  4. Step 4: Simplify right side
    13,866.43x = 157,045,601.01
  5. Step 5: Solve for x
    x = 157,045,601.01/13,866.43
  6. Step 6: Final answer
    x = 11,325.60

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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.