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Finding the Fourth Proportional to 12,649.80, 17,439.60 and 9,467.76

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Solution

The fourth proportional to 12,649.80, 17,439.60 and 9,467.76 is: 13,052.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.80 : 17,439.60 = 9,467.76 : x
  2. Step 2: Convert to fraction form
    12,649.80/17,439.60 = 9,467.76/x
  3. Step 3: Cross multiply
    12,649.80x = 17,439.60 × 9,467.76
  4. Step 4: Simplify right side
    12,649.80x = 165,113,947.30
  5. Step 5: Solve for x
    x = 165,113,947.30/12,649.80
  6. Step 6: Final answer
    x = 13,052.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.