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Finding the Fourth Proportional to 13,925.67, 20,889.20 and 5,158.54

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Solution

The fourth proportional to 13,925.67, 20,889.20 and 5,158.54 is: 7,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,925.67 : 20,889.20 = 5,158.54 : x
  2. Step 2: Convert to fraction form
    13,925.67/20,889.20 = 5,158.54/x
  3. Step 3: Cross multiply
    13,925.67x = 20,889.20 × 5,158.54
  4. Step 4: Simplify right side
    13,925.67x = 107,757,643.53
  5. Step 5: Solve for x
    x = 107,757,643.53/13,925.67
  6. Step 6: Final answer
    x = 7,738.06

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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.