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Finding the Fourth Proportional to 12,033.12, 18,050.22 and 4,242

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Solution

The fourth proportional to 12,033.12, 18,050.22 and 4,242 is: 6,363.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033.12 : 18,050.22 = 4,242 : x
  2. Step 2: Convert to fraction form
    12,033.12/18,050.22 = 4,242/x
  3. Step 3: Cross multiply
    12,033.12x = 18,050.22 × 4,242
  4. Step 4: Simplify right side
    12,033.12x = 76,569,033.24
  5. Step 5: Solve for x
    x = 76,569,033.24/12,033.12
  6. Step 6: Final answer
    x = 6,363.19

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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.