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Finding the Fourth Proportional to 23,635.47, 35,459.78 and 10,309.63

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Solution

The fourth proportional to 23,635.47, 35,459.78 and 10,309.63 is: 15,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,635.47 : 35,459.78 = 10,309.63 : x
  2. Step 2: Convert to fraction form
    23,635.47/35,459.78 = 10,309.63/x
  3. Step 3: Cross multiply
    23,635.47x = 35,459.78 × 10,309.63
  4. Step 4: Simplify right side
    23,635.47x = 365,576,982.83
  5. Step 5: Solve for x
    x = 365,576,982.83/23,635.47
  6. Step 6: Final answer
    x = 15,467.31

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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.