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Finding the Fourth Proportional to 12,826.60, 17,695.83 and 7,788.92

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Solution

The fourth proportional to 12,826.60, 17,695.83 and 7,788.92 is: 10,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,826.60 : 17,695.83 = 7,788.92 : x
  2. Step 2: Convert to fraction form
    12,826.60/17,695.83 = 7,788.92/x
  3. Step 3: Cross multiply
    12,826.60x = 17,695.83 × 7,788.92
  4. Step 4: Simplify right side
    12,826.60x = 137,831,344.93
  5. Step 5: Solve for x
    x = 137,831,344.93/12,826.60
  6. Step 6: Final answer
    x = 10,745.74

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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.