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Finding the Fourth Proportional to 20,874.80, 31,312.55 and 6,084.54

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Solution

The fourth proportional to 20,874.80, 31,312.55 and 6,084.54 is: 9,126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.80 : 31,312.55 = 6,084.54 : x
  2. Step 2: Convert to fraction form
    20,874.80/31,312.55 = 6,084.54/x
  3. Step 3: Cross multiply
    20,874.80x = 31,312.55 × 6,084.54
  4. Step 4: Simplify right side
    20,874.80x = 190,522,478.19
  5. Step 5: Solve for x
    x = 190,522,478.19/20,874.80
  6. Step 6: Final answer
    x = 9,126.91

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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.