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Finding the Fourth Proportional to 12,904.78, 19,369.05 and 7,984.03

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Solution

The fourth proportional to 12,904.78, 19,369.05 and 7,984.03 is: 11,983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.78 : 19,369.05 = 7,984.03 : x
  2. Step 2: Convert to fraction form
    12,904.78/19,369.05 = 7,984.03/x
  3. Step 3: Cross multiply
    12,904.78x = 19,369.05 × 7,984.03
  4. Step 4: Simplify right side
    12,904.78x = 154,643,076.27
  5. Step 5: Solve for x
    x = 154,643,076.27/12,904.78
  6. Step 6: Final answer
    x = 11,983.40

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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.