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Finding the Fourth Proportional to 21,935.52, 30,266.16 and 12,983.52

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Solution

The fourth proportional to 21,935.52, 30,266.16 and 12,983.52 is: 17,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,935.52 : 30,266.16 = 12,983.52 : x
  2. Step 2: Convert to fraction form
    21,935.52/30,266.16 = 12,983.52/x
  3. Step 3: Cross multiply
    21,935.52x = 30,266.16 × 12,983.52
  4. Step 4: Simplify right side
    21,935.52x = 392,961,293.68
  5. Step 5: Solve for x
    x = 392,961,293.68/21,935.52
  6. Step 6: Final answer
    x = 17,914.38

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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.