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Finding the Fourth Proportional to 21,364.92, 29,453.94 and 18,412.20

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Solution

The fourth proportional to 21,364.92, 29,453.94 and 18,412.20 is: 25,383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,364.92 : 29,453.94 = 18,412.20 : x
  2. Step 2: Convert to fraction form
    21,364.92/29,453.94 = 18,412.20/x
  3. Step 3: Cross multiply
    21,364.92x = 29,453.94 × 18,412.20
  4. Step 4: Simplify right side
    21,364.92x = 542,311,834.07
  5. Step 5: Solve for x
    x = 542,311,834.07/21,364.92
  6. Step 6: Final answer
    x = 25,383.28

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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.