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Finding the Fourth Proportional to 13,078.19, 19,615.20 and 5,680.67

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Solution

The fourth proportional to 13,078.19, 19,615.20 and 5,680.67 is: 8,520.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.19 : 19,615.20 = 5,680.67 : x
  2. Step 2: Convert to fraction form
    13,078.19/19,615.20 = 5,680.67/x
  3. Step 3: Cross multiply
    13,078.19x = 19,615.20 × 5,680.67
  4. Step 4: Simplify right side
    13,078.19x = 111,427,358.81
  5. Step 5: Solve for x
    x = 111,427,358.81/13,078.19
  6. Step 6: Final answer
    x = 8,520.09

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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.