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Finding the Fourth Proportional to 12,970.44, 19,453.64 and 4,650.26

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Solution

The fourth proportional to 12,970.44, 19,453.64 and 4,650.26 is: 6,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.44 : 19,453.64 = 4,650.26 : x
  2. Step 2: Convert to fraction form
    12,970.44/19,453.64 = 4,650.26/x
  3. Step 3: Cross multiply
    12,970.44x = 19,453.64 × 4,650.26
  4. Step 4: Simplify right side
    12,970.44x = 90,464,363.43
  5. Step 5: Solve for x
    x = 90,464,363.43/12,970.44
  6. Step 6: Final answer
    x = 6,974.66

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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.