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Finding the Fourth Proportional to 13,503.54, 20,258.54 and 5,183.62

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Solution

The fourth proportional to 13,503.54, 20,258.54 and 5,183.62 is: 7,776.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.54 : 20,258.54 = 5,183.62 : x
  2. Step 2: Convert to fraction form
    13,503.54/20,258.54 = 5,183.62/x
  3. Step 3: Cross multiply
    13,503.54x = 20,258.54 × 5,183.62
  4. Step 4: Simplify right side
    13,503.54x = 105,012,573.11
  5. Step 5: Solve for x
    x = 105,012,573.11/13,503.54
  6. Step 6: Final answer
    x = 7,776.67

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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.