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Finding the Fourth Proportional to 13,838.89, 20,758.32 and 5,074.51

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Solution

The fourth proportional to 13,838.89, 20,758.32 and 5,074.51 is: 7,611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.89 : 20,758.32 = 5,074.51 : x
  2. Step 2: Convert to fraction form
    13,838.89/20,758.32 = 5,074.51/x
  3. Step 3: Cross multiply
    13,838.89x = 20,758.32 × 5,074.51
  4. Step 4: Simplify right side
    13,838.89x = 105,338,302.42
  5. Step 5: Solve for x
    x = 105,338,302.42/13,838.89
  6. Step 6: Final answer
    x = 7,611.76

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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.