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Finding the Fourth Proportional to 20,973.78, 31,452.75 and 6,178.50

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Solution

The fourth proportional to 20,973.78, 31,452.75 and 6,178.50 is: 9,265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,973.78 : 31,452.75 = 6,178.50 : x
  2. Step 2: Convert to fraction form
    20,973.78/31,452.75 = 6,178.50/x
  3. Step 3: Cross multiply
    20,973.78x = 31,452.75 × 6,178.50
  4. Step 4: Simplify right side
    20,973.78x = 194,330,815.88
  5. Step 5: Solve for x
    x = 194,330,815.88/20,973.78
  6. Step 6: Final answer
    x = 9,265.42

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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.