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Finding the Fourth Proportional to 13,833.14, 20,757.94 and 5,068.67

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Solution

The fourth proportional to 13,833.14, 20,757.94 and 5,068.67 is: 7,606.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.14 : 20,757.94 = 5,068.67 : x
  2. Step 2: Convert to fraction form
    13,833.14/20,757.94 = 5,068.67/x
  3. Step 3: Cross multiply
    13,833.14x = 20,757.94 × 5,068.67
  4. Step 4: Simplify right side
    13,833.14x = 105,215,031.28
  5. Step 5: Solve for x
    x = 105,215,031.28/13,833.14
  6. Step 6: Final answer
    x = 7,606.01

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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.