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Finding the Fourth Proportional to 12,969.57, 19,454.70 and 4,650.18

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Solution

The fourth proportional to 12,969.57, 19,454.70 and 4,650.18 is: 6,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.57 : 19,454.70 = 4,650.18 : x
  2. Step 2: Convert to fraction form
    12,969.57/19,454.70 = 4,650.18/x
  3. Step 3: Cross multiply
    12,969.57x = 19,454.70 × 4,650.18
  4. Step 4: Simplify right side
    12,969.57x = 90,467,856.85
  5. Step 5: Solve for x
    x = 90,467,856.85/12,969.57
  6. Step 6: Final answer
    x = 6,975.39

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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.