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Finding the Fourth Proportional to 13,782.14, 20,680.05 and 5,461.98

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Solution

The fourth proportional to 13,782.14, 20,680.05 and 5,461.98 is: 8,195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.14 : 20,680.05 = 5,461.98 : x
  2. Step 2: Convert to fraction form
    13,782.14/20,680.05 = 5,461.98/x
  3. Step 3: Cross multiply
    13,782.14x = 20,680.05 × 5,461.98
  4. Step 4: Simplify right side
    13,782.14x = 112,953,931.71
  5. Step 5: Solve for x
    x = 112,953,931.71/13,782.14
  6. Step 6: Final answer
    x = 8,195.67

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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.