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Finding the Fourth Proportional to 13,213.60, 19,820.03 and 5,313.67

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Solution

The fourth proportional to 13,213.60, 19,820.03 and 5,313.67 is: 7,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.60 : 19,820.03 = 5,313.67 : x
  2. Step 2: Convert to fraction form
    13,213.60/19,820.03 = 5,313.67/x
  3. Step 3: Cross multiply
    13,213.60x = 19,820.03 × 5,313.67
  4. Step 4: Simplify right side
    13,213.60x = 105,317,022.69
  5. Step 5: Solve for x
    x = 105,317,022.69/13,213.60
  6. Step 6: Final answer
    x = 7,970.35

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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.