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Finding the Fourth Proportional to 12,940.30, 19,410.54 and 5,538.52

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Solution

The fourth proportional to 12,940.30, 19,410.54 and 5,538.52 is: 8,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.30 : 19,410.54 = 5,538.52 : x
  2. Step 2: Convert to fraction form
    12,940.30/19,410.54 = 5,538.52/x
  3. Step 3: Cross multiply
    12,940.30x = 19,410.54 × 5,538.52
  4. Step 4: Simplify right side
    12,940.30x = 107,505,664.00
  5. Step 5: Solve for x
    x = 107,505,664.00/12,940.30
  6. Step 6: Final answer
    x = 8,307.82

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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.