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Finding the Fourth Proportional to 13,093.92, 18,070.56 and 7,788.96

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Solution

The fourth proportional to 13,093.92, 18,070.56 and 7,788.96 is: 10,749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.92 : 18,070.56 = 7,788.96 : x
  2. Step 2: Convert to fraction form
    13,093.92/18,070.56 = 7,788.96/x
  3. Step 3: Cross multiply
    13,093.92x = 18,070.56 × 7,788.96
  4. Step 4: Simplify right side
    13,093.92x = 140,750,869.02
  5. Step 5: Solve for x
    x = 140,750,869.02/13,093.92
  6. Step 6: Final answer
    x = 10,749.33

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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.