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Finding the Fourth Proportional to 13,806.09, 19,051.71 and 7,837.67

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Solution

The fourth proportional to 13,806.09, 19,051.71 and 7,837.67 is: 10,815.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.09 : 19,051.71 = 7,837.67 : x
  2. Step 2: Convert to fraction form
    13,806.09/19,051.71 = 7,837.67/x
  3. Step 3: Cross multiply
    13,806.09x = 19,051.71 × 7,837.67
  4. Step 4: Simplify right side
    13,806.09x = 149,320,920.66
  5. Step 5: Solve for x
    x = 149,320,920.66/13,806.09
  6. Step 6: Final answer
    x = 10,815.58

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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.