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Finding the Fourth Proportional to 20,219.64, 30,329.46 and 7,899

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Solution

The fourth proportional to 20,219.64, 30,329.46 and 7,899 is: 11,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,219.64 : 30,329.46 = 7,899 : x
  2. Step 2: Convert to fraction form
    20,219.64/30,329.46 = 7,899/x
  3. Step 3: Cross multiply
    20,219.64x = 30,329.46 × 7,899
  4. Step 4: Simplify right side
    20,219.64x = 239,572,404.54
  5. Step 5: Solve for x
    x = 239,572,404.54/20,219.64
  6. Step 6: Final answer
    x = 11,848.50

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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.