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Finding the Fourth Proportional to 13,826.51, 19,081.03 and 7,777.81

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Solution

The fourth proportional to 13,826.51, 19,081.03 and 7,777.81 is: 10,733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826.51 : 19,081.03 = 7,777.81 : x
  2. Step 2: Convert to fraction form
    13,826.51/19,081.03 = 7,777.81/x
  3. Step 3: Cross multiply
    13,826.51x = 19,081.03 × 7,777.81
  4. Step 4: Simplify right side
    13,826.51x = 148,408,530.54
  5. Step 5: Solve for x
    x = 148,408,530.54/13,826.51
  6. Step 6: Final answer
    x = 10,733.63

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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.