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Finding the Fourth Proportional to 18,970.24, 26,164.56 and 11,416

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Solution

The fourth proportional to 18,970.24, 26,164.56 and 11,416 is: 15,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,970.24 : 26,164.56 = 11,416 : x
  2. Step 2: Convert to fraction form
    18,970.24/26,164.56 = 11,416/x
  3. Step 3: Cross multiply
    18,970.24x = 26,164.56 × 11,416
  4. Step 4: Simplify right side
    18,970.24x = 298,694,616.96
  5. Step 5: Solve for x
    x = 298,694,616.96/18,970.24
  6. Step 6: Final answer
    x = 15,745.43

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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.