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Finding the Fourth Proportional to 23,837.25, 35,765.79 and 10,503.42

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Solution

The fourth proportional to 23,837.25, 35,765.79 and 10,503.42 is: 15,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,837.25 : 35,765.79 = 10,503.42 : x
  2. Step 2: Convert to fraction form
    23,837.25/35,765.79 = 10,503.42/x
  3. Step 3: Cross multiply
    23,837.25x = 35,765.79 × 10,503.42
  4. Step 4: Simplify right side
    23,837.25x = 375,663,114.00
  5. Step 5: Solve for x
    x = 375,663,114.00/23,837.25
  6. Step 6: Final answer
    x = 15,759.50

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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.