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Finding the Fourth Proportional to 13,461.87, 20,193.81 and 4,102.70

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Solution

The fourth proportional to 13,461.87, 20,193.81 and 4,102.70 is: 6,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.87 : 20,193.81 = 4,102.70 : x
  2. Step 2: Convert to fraction form
    13,461.87/20,193.81 = 4,102.70/x
  3. Step 3: Cross multiply
    13,461.87x = 20,193.81 × 4,102.70
  4. Step 4: Simplify right side
    13,461.87x = 82,849,027.93
  5. Step 5: Solve for x
    x = 82,849,027.93/13,461.87
  6. Step 6: Final answer
    x = 6,154.35

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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.