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Finding the Fourth Proportional to 21,996.36, 30,353.40 and 12,564.72

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Solution

The fourth proportional to 21,996.36, 30,353.40 and 12,564.72 is: 17,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,996.36 : 30,353.40 = 12,564.72 : x
  2. Step 2: Convert to fraction form
    21,996.36/30,353.40 = 12,564.72/x
  3. Step 3: Cross multiply
    21,996.36x = 30,353.40 × 12,564.72
  4. Step 4: Simplify right side
    21,996.36x = 381,381,972.05
  5. Step 5: Solve for x
    x = 381,381,972.05/21,996.36
  6. Step 6: Final answer
    x = 17,338.41

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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.