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Finding the Fourth Proportional to 21,731.31, 29,989.31 and 12,301.70

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Solution

The fourth proportional to 21,731.31, 29,989.31 and 12,301.70 is: 16,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,731.31 : 29,989.31 = 12,301.70 : x
  2. Step 2: Convert to fraction form
    21,731.31/29,989.31 = 12,301.70/x
  3. Step 3: Cross multiply
    21,731.31x = 29,989.31 × 12,301.70
  4. Step 4: Simplify right side
    21,731.31x = 368,919,283.37
  5. Step 5: Solve for x
    x = 368,919,283.37/21,731.31
  6. Step 6: Final answer
    x = 16,976.39

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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.