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Finding the Fourth Proportional to 12,892.52, 19,371.06 and 8,214.52

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Solution

The fourth proportional to 12,892.52, 19,371.06 and 8,214.52 is: 12,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.52 : 19,371.06 = 8,214.52 : x
  2. Step 2: Convert to fraction form
    12,892.52/19,371.06 = 8,214.52/x
  3. Step 3: Cross multiply
    12,892.52x = 19,371.06 × 8,214.52
  4. Step 4: Simplify right side
    12,892.52x = 159,123,959.79
  5. Step 5: Solve for x
    x = 159,123,959.79/12,892.52
  6. Step 6: Final answer
    x = 12,342.35

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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.