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Finding the Fourth Proportional to 20,238, 30,356.94 and 15,566.34

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Solution

The fourth proportional to 20,238, 30,356.94 and 15,566.34 is: 23,349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,238 : 30,356.94 = 15,566.34 : x
  2. Step 2: Convert to fraction form
    20,238/30,356.94 = 15,566.34/x
  3. Step 3: Cross multiply
    20,238x = 30,356.94 × 15,566.34
  4. Step 4: Simplify right side
    20,238x = 472,546,449.40
  5. Step 5: Solve for x
    x = 472,546,449.40/20,238
  6. Step 6: Final answer
    x = 23,349.46

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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.