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Finding the Fourth Proportional to 13,703.84, 20,556.08 and 6,314.48

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Solution

The fourth proportional to 13,703.84, 20,556.08 and 6,314.48 is: 9,471.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.84 : 20,556.08 = 6,314.48 : x
  2. Step 2: Convert to fraction form
    13,703.84/20,556.08 = 6,314.48/x
  3. Step 3: Cross multiply
    13,703.84x = 20,556.08 × 6,314.48
  4. Step 4: Simplify right side
    13,703.84x = 129,800,956.04
  5. Step 5: Solve for x
    x = 129,800,956.04/13,703.84
  6. Step 6: Final answer
    x = 9,471.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.