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Finding the Fourth Proportional to 12,394.30, 18,591.42 and 5,820.46

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Solution

The fourth proportional to 12,394.30, 18,591.42 and 5,820.46 is: 8,730.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.30 : 18,591.42 = 5,820.46 : x
  2. Step 2: Convert to fraction form
    12,394.30/18,591.42 = 5,820.46/x
  3. Step 3: Cross multiply
    12,394.30x = 18,591.42 × 5,820.46
  4. Step 4: Simplify right side
    12,394.30x = 108,210,616.45
  5. Step 5: Solve for x
    x = 108,210,616.45/12,394.30
  6. Step 6: Final answer
    x = 8,730.68

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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.