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Finding the Fourth Proportional to 14,414.67, 19,894.17 and 8,448.71

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Solution

The fourth proportional to 14,414.67, 19,894.17 and 8,448.71 is: 11,660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.67 : 19,894.17 = 8,448.71 : x
  2. Step 2: Convert to fraction form
    14,414.67/19,894.17 = 8,448.71/x
  3. Step 3: Cross multiply
    14,414.67x = 19,894.17 × 8,448.71
  4. Step 4: Simplify right side
    14,414.67x = 168,079,973.55
  5. Step 5: Solve for x
    x = 168,079,973.55/14,414.67
  6. Step 6: Final answer
    x = 11,660.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.