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Finding the Fourth Proportional to 13,838.42, 20,758.72 and 5,073.14

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Solution

The fourth proportional to 13,838.42, 20,758.72 and 5,073.14 is: 7,610.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.42 : 20,758.72 = 5,073.14 : x
  2. Step 2: Convert to fraction form
    13,838.42/20,758.72 = 5,073.14/x
  3. Step 3: Cross multiply
    13,838.42x = 20,758.72 × 5,073.14
  4. Step 4: Simplify right side
    13,838.42x = 105,311,892.78
  5. Step 5: Solve for x
    x = 105,311,892.78/13,838.42
  6. Step 6: Final answer
    x = 7,610.11

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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.