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Finding the Fourth Proportional to 23,765.76, 35,643.24 and 10,611

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Solution

The fourth proportional to 23,765.76, 35,643.24 and 10,611 is: 15,914.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,765.76 : 35,643.24 = 10,611 : x
  2. Step 2: Convert to fraction form
    23,765.76/35,643.24 = 10,611/x
  3. Step 3: Cross multiply
    23,765.76x = 35,643.24 × 10,611
  4. Step 4: Simplify right side
    23,765.76x = 378,210,419.64
  5. Step 5: Solve for x
    x = 378,210,419.64/23,765.76
  6. Step 6: Final answer
    x = 15,914.09

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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.