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Finding the Fourth Proportional to 13,841.56, 20,745.78 and 5,071.72

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Solution

The fourth proportional to 13,841.56, 20,745.78 and 5,071.72 is: 7,601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.56 : 20,745.78 = 5,071.72 : x
  2. Step 2: Convert to fraction form
    13,841.56/20,745.78 = 5,071.72/x
  3. Step 3: Cross multiply
    13,841.56x = 20,745.78 × 5,071.72
  4. Step 4: Simplify right side
    13,841.56x = 105,216,787.34
  5. Step 5: Solve for x
    x = 105,216,787.34/13,841.56
  6. Step 6: Final answer
    x = 7,601.51

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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.