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Finding the Fourth Proportional to 21,969.96, 30,318.38 and 11,898.17

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Solution

The fourth proportional to 21,969.96, 30,318.38 and 11,898.17 is: 16,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969.96 : 30,318.38 = 11,898.17 : x
  2. Step 2: Convert to fraction form
    21,969.96/30,318.38 = 11,898.17/x
  3. Step 3: Cross multiply
    21,969.96x = 30,318.38 × 11,898.17
  4. Step 4: Simplify right side
    21,969.96x = 360,733,028.28
  5. Step 5: Solve for x
    x = 360,733,028.28/21,969.96
  6. Step 6: Final answer
    x = 16,419.38

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Why These Related Problems?

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