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Finding the Fourth Proportional to 12,199.46, 18,290.91 and 3,876.98

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Solution

The fourth proportional to 12,199.46, 18,290.91 and 3,876.98 is: 5,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.46 : 18,290.91 = 3,876.98 : x
  2. Step 2: Convert to fraction form
    12,199.46/18,290.91 = 3,876.98/x
  3. Step 3: Cross multiply
    12,199.46x = 18,290.91 × 3,876.98
  4. Step 4: Simplify right side
    12,199.46x = 70,913,492.25
  5. Step 5: Solve for x
    x = 70,913,492.25/12,199.46
  6. Step 6: Final answer
    x = 5,812.84

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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.