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Finding the Fourth Proportional to 20,577.62, 30,868.71 and 8,096.00

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Solution

The fourth proportional to 20,577.62, 30,868.71 and 8,096.00 is: 12,144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,577.62 : 30,868.71 = 8,096.00 : x
  2. Step 2: Convert to fraction form
    20,577.62/30,868.71 = 8,096.00/x
  3. Step 3: Cross multiply
    20,577.62x = 30,868.71 × 8,096.00
  4. Step 4: Simplify right side
    20,577.62x = 249,913,076.48
  5. Step 5: Solve for x
    x = 249,913,076.48/20,577.62
  6. Step 6: Final answer
    x = 12,144.90

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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.