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Finding the Fourth Proportional to 12,190.77, 18,284.50 and 4,800.40

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Solution

The fourth proportional to 12,190.77, 18,284.50 and 4,800.40 is: 7,199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.77 : 18,284.50 = 4,800.40 : x
  2. Step 2: Convert to fraction form
    12,190.77/18,284.50 = 4,800.40/x
  3. Step 3: Cross multiply
    12,190.77x = 18,284.50 × 4,800.40
  4. Step 4: Simplify right side
    12,190.77x = 87,772,874.09
  5. Step 5: Solve for x
    x = 87,772,874.09/12,190.77
  6. Step 6: Final answer
    x = 7,199.95

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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.