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Finding the Fourth Proportional to 13,928.82, 19,219.03 and 8,262.51

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Solution

The fourth proportional to 13,928.82, 19,219.03 and 8,262.51 is: 11,400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,928.82 : 19,219.03 = 8,262.51 : x
  2. Step 2: Convert to fraction form
    13,928.82/19,219.03 = 8,262.51/x
  3. Step 3: Cross multiply
    13,928.82x = 19,219.03 × 8,262.51
  4. Step 4: Simplify right side
    13,928.82x = 158,797,427.57
  5. Step 5: Solve for x
    x = 158,797,427.57/13,928.82
  6. Step 6: Final answer
    x = 11,400.64

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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.