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Finding the Fourth Proportional to 21,103.49, 31,659.91 and 7,955.97

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Solution

The fourth proportional to 21,103.49, 31,659.91 and 7,955.97 is: 11,935.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,103.49 : 31,659.91 = 7,955.97 : x
  2. Step 2: Convert to fraction form
    21,103.49/31,659.91 = 7,955.97/x
  3. Step 3: Cross multiply
    21,103.49x = 31,659.91 × 7,955.97
  4. Step 4: Simplify right side
    21,103.49x = 251,885,294.16
  5. Step 5: Solve for x
    x = 251,885,294.16/21,103.49
  6. Step 6: Final answer
    x = 11,935.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.