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Finding the Fourth Proportional to 23,887.98, 35,827.92 and 7,243.99

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Solution

The fourth proportional to 23,887.98, 35,827.92 and 7,243.99 is: 10,864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,887.98 : 35,827.92 = 7,243.99 : x
  2. Step 2: Convert to fraction form
    23,887.98/35,827.92 = 7,243.99/x
  3. Step 3: Cross multiply
    23,887.98x = 35,827.92 × 7,243.99
  4. Step 4: Simplify right side
    23,887.98x = 259,537,004.63
  5. Step 5: Solve for x
    x = 259,537,004.63/23,887.98
  6. Step 6: Final answer
    x = 10,864.75

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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.