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Finding the Fourth Proportional to 14,201.30, 19,586.30 and 13,627.20

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Solution

The fourth proportional to 14,201.30, 19,586.30 and 13,627.20 is: 18,794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.30 : 19,586.30 = 13,627.20 : x
  2. Step 2: Convert to fraction form
    14,201.30/19,586.30 = 13,627.20/x
  3. Step 3: Cross multiply
    14,201.30x = 19,586.30 × 13,627.20
  4. Step 4: Simplify right side
    14,201.30x = 266,906,359.22
  5. Step 5: Solve for x
    x = 266,906,359.22/14,201.30
  6. Step 6: Final answer
    x = 18,794.51

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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.