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Finding the Fourth Proportional to 19,974.88, 27,567 and 11,023.24

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Solution

The fourth proportional to 19,974.88, 27,567 and 11,023.24 is: 15,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974.88 : 27,567 = 11,023.24 : x
  2. Step 2: Convert to fraction form
    19,974.88/27,567 = 11,023.24/x
  3. Step 3: Cross multiply
    19,974.88x = 27,567 × 11,023.24
  4. Step 4: Simplify right side
    19,974.88x = 303,877,657.08
  5. Step 5: Solve for x
    x = 303,877,657.08/19,974.88
  6. Step 6: Final answer
    x = 15,212.99

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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.