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Finding the Fourth Proportional to 12,981.28, 19,472 and 4,216.96

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Solution

The fourth proportional to 12,981.28, 19,472 and 4,216.96 is: 6,325.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,981.28 : 19,472 = 4,216.96 : x
  2. Step 2: Convert to fraction form
    12,981.28/19,472 = 4,216.96/x
  3. Step 3: Cross multiply
    12,981.28x = 19,472 × 4,216.96
  4. Step 4: Simplify right side
    12,981.28x = 82,112,645.12
  5. Step 5: Solve for x
    x = 82,112,645.12/12,981.28
  6. Step 6: Final answer
    x = 6,325.47

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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.