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Finding the Fourth Proportional to 13,858.82, 19,125.19 and 7,890.49

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Solution

The fourth proportional to 13,858.82, 19,125.19 and 7,890.49 is: 10,888.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.82 : 19,125.19 = 7,890.49 : x
  2. Step 2: Convert to fraction form
    13,858.82/19,125.19 = 7,890.49/x
  3. Step 3: Cross multiply
    13,858.82x = 19,125.19 × 7,890.49
  4. Step 4: Simplify right side
    13,858.82x = 150,907,024.82
  5. Step 5: Solve for x
    x = 150,907,024.82/13,858.82
  6. Step 6: Final answer
    x = 10,888.88

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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.