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Finding the Fourth Proportional to 20,577, 30,860.82 and 5,787.36

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Solution

The fourth proportional to 20,577, 30,860.82 and 5,787.36 is: 8,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,577 : 30,860.82 = 5,787.36 : x
  2. Step 2: Convert to fraction form
    20,577/30,860.82 = 5,787.36/x
  3. Step 3: Cross multiply
    20,577x = 30,860.82 × 5,787.36
  4. Step 4: Simplify right side
    20,577x = 178,602,675.24
  5. Step 5: Solve for x
    x = 178,602,675.24/20,577
  6. Step 6: Final answer
    x = 8,679.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.