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Finding the Fourth Proportional to 12,348.12, 18,523.82 and 4,025.22

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Solution

The fourth proportional to 12,348.12, 18,523.82 and 4,025.22 is: 6,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.12 : 18,523.82 = 4,025.22 : x
  2. Step 2: Convert to fraction form
    12,348.12/18,523.82 = 4,025.22/x
  3. Step 3: Cross multiply
    12,348.12x = 18,523.82 × 4,025.22
  4. Step 4: Simplify right side
    12,348.12x = 74,562,450.74
  5. Step 5: Solve for x
    x = 74,562,450.74/12,348.12
  6. Step 6: Final answer
    x = 6,038.36

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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.