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Finding the Fourth Proportional to 20,148.64, 30,202.71 and 7,665.46

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Solution

The fourth proportional to 20,148.64, 30,202.71 and 7,665.46 is: 11,490.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,148.64 : 30,202.71 = 7,665.46 : x
  2. Step 2: Convert to fraction form
    20,148.64/30,202.71 = 7,665.46/x
  3. Step 3: Cross multiply
    20,148.64x = 30,202.71 × 7,665.46
  4. Step 4: Simplify right side
    20,148.64x = 231,517,665.40
  5. Step 5: Solve for x
    x = 231,517,665.40/20,148.64
  6. Step 6: Final answer
    x = 11,490.49

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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.