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Finding the Fourth Proportional to 13,859.40, 19,123.77 and 7,891.19

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Solution

The fourth proportional to 13,859.40, 19,123.77 and 7,891.19 is: 10,888.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,859.40 : 19,123.77 = 7,891.19 : x
  2. Step 2: Convert to fraction form
    13,859.40/19,123.77 = 7,891.19/x
  3. Step 3: Cross multiply
    13,859.40x = 19,123.77 × 7,891.19
  4. Step 4: Simplify right side
    13,859.40x = 150,909,206.97
  5. Step 5: Solve for x
    x = 150,909,206.97/13,859.40
  6. Step 6: Final answer
    x = 10,888.58

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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.