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Finding the Fourth Proportional to 13,078.20, 19,616.40 and 4,193.40

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Solution

The fourth proportional to 13,078.20, 19,616.40 and 4,193.40 is: 6,289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.20 : 19,616.40 = 4,193.40 : x
  2. Step 2: Convert to fraction form
    13,078.20/19,616.40 = 4,193.40/x
  3. Step 3: Cross multiply
    13,078.20x = 19,616.40 × 4,193.40
  4. Step 4: Simplify right side
    13,078.20x = 82,259,411.76
  5. Step 5: Solve for x
    x = 82,259,411.76/13,078.20
  6. Step 6: Final answer
    x = 6,289.81

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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.