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Finding the Fourth Proportional to 20,577.48, 30,873.62 and 8,090.58

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Solution

The fourth proportional to 20,577.48, 30,873.62 and 8,090.58 is: 12,138.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,577.48 : 30,873.62 = 8,090.58 : x
  2. Step 2: Convert to fraction form
    20,577.48/30,873.62 = 8,090.58/x
  3. Step 3: Cross multiply
    20,577.48x = 30,873.62 × 8,090.58
  4. Step 4: Simplify right side
    20,577.48x = 249,785,628.50
  5. Step 5: Solve for x
    x = 249,785,628.50/20,577.48
  6. Step 6: Final answer
    x = 12,138.79

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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.