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Finding the Fourth Proportional to 23,774.69, 35,654.34 and 10,636.49

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Solution

The fourth proportional to 23,774.69, 35,654.34 and 10,636.49 is: 15,951.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.69 : 35,654.34 = 10,636.49 : x
  2. Step 2: Convert to fraction form
    23,774.69/35,654.34 = 10,636.49/x
  3. Step 3: Cross multiply
    23,774.69x = 35,654.34 × 10,636.49
  4. Step 4: Simplify right side
    23,774.69x = 379,237,030.87
  5. Step 5: Solve for x
    x = 379,237,030.87/23,774.69
  6. Step 6: Final answer
    x = 15,951.29

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