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Finding the Fourth Proportional to 19,771.68, 27,273.06 and 13,057.32

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Solution

The fourth proportional to 19,771.68, 27,273.06 and 13,057.32 is: 18,011.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,771.68 : 27,273.06 = 13,057.32 : x
  2. Step 2: Convert to fraction form
    19,771.68/27,273.06 = 13,057.32/x
  3. Step 3: Cross multiply
    19,771.68x = 27,273.06 × 13,057.32
  4. Step 4: Simplify right side
    19,771.68x = 356,113,071.80
  5. Step 5: Solve for x
    x = 356,113,071.80/19,771.68
  6. Step 6: Final answer
    x = 18,011.27

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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.