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Finding the Fourth Proportional to 20,946.50, 31,419.75 and 6,354.50

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Solution

The fourth proportional to 20,946.50, 31,419.75 and 6,354.50 is: 9,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,946.50 : 31,419.75 = 6,354.50 : x
  2. Step 2: Convert to fraction form
    20,946.50/31,419.75 = 6,354.50/x
  3. Step 3: Cross multiply
    20,946.50x = 31,419.75 × 6,354.50
  4. Step 4: Simplify right side
    20,946.50x = 199,656,801.38
  5. Step 5: Solve for x
    x = 199,656,801.38/20,946.50
  6. Step 6: Final answer
    x = 9,531.75

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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.