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Finding the Fourth Proportional to 23,264.99, 34,897.01 and 5,734.97

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Solution

The fourth proportional to 23,264.99, 34,897.01 and 5,734.97 is: 8,602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,264.99 : 34,897.01 = 5,734.97 : x
  2. Step 2: Convert to fraction form
    23,264.99/34,897.01 = 5,734.97/x
  3. Step 3: Cross multiply
    23,264.99x = 34,897.01 × 5,734.97
  4. Step 4: Simplify right side
    23,264.99x = 200,133,102.28
  5. Step 5: Solve for x
    x = 200,133,102.28/23,264.99
  6. Step 6: Final answer
    x = 8,602.33

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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.