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Finding the Fourth Proportional to 12,921.30, 19,384.83 and 7,076.34

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Solution

The fourth proportional to 12,921.30, 19,384.83 and 7,076.34 is: 10,616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,921.30 : 19,384.83 = 7,076.34 : x
  2. Step 2: Convert to fraction form
    12,921.30/19,384.83 = 7,076.34/x
  3. Step 3: Cross multiply
    12,921.30x = 19,384.83 × 7,076.34
  4. Step 4: Simplify right side
    12,921.30x = 137,173,647.92
  5. Step 5: Solve for x
    x = 137,173,647.92/12,921.30
  6. Step 6: Final answer
    x = 10,616.09

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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.