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Finding the Fourth Proportional to 12,896.60, 19,320.60 and 6,635.30

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Solution

The fourth proportional to 12,896.60, 19,320.60 and 6,635.30 is: 9,940.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.60 : 19,320.60 = 6,635.30 : x
  2. Step 2: Convert to fraction form
    12,896.60/19,320.60 = 6,635.30/x
  3. Step 3: Cross multiply
    12,896.60x = 19,320.60 × 6,635.30
  4. Step 4: Simplify right side
    12,896.60x = 128,197,977.18
  5. Step 5: Solve for x
    x = 128,197,977.18/12,896.60
  6. Step 6: Final answer
    x = 9,940.45

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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.