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Finding the Fourth Proportional to 13,777.54, 19,014.49 and 7,808.57

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Solution

The fourth proportional to 13,777.54, 19,014.49 and 7,808.57 is: 10,776.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.54 : 19,014.49 = 7,808.57 : x
  2. Step 2: Convert to fraction form
    13,777.54/19,014.49 = 7,808.57/x
  3. Step 3: Cross multiply
    13,777.54x = 19,014.49 × 7,808.57
  4. Step 4: Simplify right side
    13,777.54x = 148,476,015.72
  5. Step 5: Solve for x
    x = 148,476,015.72/13,777.54
  6. Step 6: Final answer
    x = 10,776.67

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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.