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Finding the Fourth Proportional to 12,992.78, 19,485.93 and 5,096.90

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Solution

The fourth proportional to 12,992.78, 19,485.93 and 5,096.90 is: 7,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.78 : 19,485.93 = 5,096.90 : x
  2. Step 2: Convert to fraction form
    12,992.78/19,485.93 = 5,096.90/x
  3. Step 3: Cross multiply
    12,992.78x = 19,485.93 × 5,096.90
  4. Step 4: Simplify right side
    12,992.78x = 99,317,836.62
  5. Step 5: Solve for x
    x = 99,317,836.62/12,992.78
  6. Step 6: Final answer
    x = 7,644.08

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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.