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Finding the Fourth Proportional to 12,048, 18,071.46 and 5,025.12

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Solution

The fourth proportional to 12,048, 18,071.46 and 5,025.12 is: 7,537.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048 : 18,071.46 = 5,025.12 : x
  2. Step 2: Convert to fraction form
    12,048/18,071.46 = 5,025.12/x
  3. Step 3: Cross multiply
    12,048x = 18,071.46 × 5,025.12
  4. Step 4: Simplify right side
    12,048x = 90,811,255.08
  5. Step 5: Solve for x
    x = 90,811,255.08/12,048
  6. Step 6: Final answer
    x = 7,537.45

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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.