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Finding the Fourth Proportional to 13,764.96, 18,994.28 and 7,795.44

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Solution

The fourth proportional to 13,764.96, 18,994.28 and 7,795.44 is: 10,756.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.96 : 18,994.28 = 7,795.44 : x
  2. Step 2: Convert to fraction form
    13,764.96/18,994.28 = 7,795.44/x
  3. Step 3: Cross multiply
    13,764.96x = 18,994.28 × 7,795.44
  4. Step 4: Simplify right side
    13,764.96x = 148,068,731.11
  5. Step 5: Solve for x
    x = 148,068,731.11/13,764.96
  6. Step 6: Final answer
    x = 10,756.93

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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.