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Finding the Fourth Proportional to 12,172.42, 18,254.91 and 6,325.84

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Solution

The fourth proportional to 12,172.42, 18,254.91 and 6,325.84 is: 9,486.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.42 : 18,254.91 = 6,325.84 : x
  2. Step 2: Convert to fraction form
    12,172.42/18,254.91 = 6,325.84/x
  3. Step 3: Cross multiply
    12,172.42x = 18,254.91 × 6,325.84
  4. Step 4: Simplify right side
    12,172.42x = 115,477,639.87
  5. Step 5: Solve for x
    x = 115,477,639.87/12,172.42
  6. Step 6: Final answer
    x = 9,486.83

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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.