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Finding the Fourth Proportional to 20,462.25, 30,665.37 and 15,460.51

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Solution

The fourth proportional to 20,462.25, 30,665.37 and 15,460.51 is: 23,169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,462.25 : 30,665.37 = 15,460.51 : x
  2. Step 2: Convert to fraction form
    20,462.25/30,665.37 = 15,460.51/x
  3. Step 3: Cross multiply
    20,462.25x = 30,665.37 × 15,460.51
  4. Step 4: Simplify right side
    20,462.25x = 474,102,259.54
  5. Step 5: Solve for x
    x = 474,102,259.54/20,462.25
  6. Step 6: Final answer
    x = 23,169.61

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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.