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Finding the Fourth Proportional to 13,819.90, 19,071.41 and 7,853.49

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Solution

The fourth proportional to 13,819.90, 19,071.41 and 7,853.49 is: 10,837.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.90 : 19,071.41 = 7,853.49 : x
  2. Step 2: Convert to fraction form
    13,819.90/19,071.41 = 7,853.49/x
  3. Step 3: Cross multiply
    13,819.90x = 19,071.41 × 7,853.49
  4. Step 4: Simplify right side
    13,819.90x = 149,777,127.72
  5. Step 5: Solve for x
    x = 149,777,127.72/13,819.90
  6. Step 6: Final answer
    x = 10,837.79

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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.