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Finding the Fourth Proportional to 12,072.14, 18,113.22 and 6,518.98

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Solution

The fourth proportional to 12,072.14, 18,113.22 and 6,518.98 is: 9,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072.14 : 18,113.22 = 6,518.98 : x
  2. Step 2: Convert to fraction form
    12,072.14/18,113.22 = 6,518.98/x
  3. Step 3: Cross multiply
    12,072.14x = 18,113.22 × 6,518.98
  4. Step 4: Simplify right side
    12,072.14x = 118,079,741.56
  5. Step 5: Solve for x
    x = 118,079,741.56/12,072.14
  6. Step 6: Final answer
    x = 9,781.18

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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.