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Finding the Fourth Proportional to 20,874.48, 28,812.06 and 12,912

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Solution

The fourth proportional to 20,874.48, 28,812.06 and 12,912 is: 17,821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.48 : 28,812.06 = 12,912 : x
  2. Step 2: Convert to fraction form
    20,874.48/28,812.06 = 12,912/x
  3. Step 3: Cross multiply
    20,874.48x = 28,812.06 × 12,912
  4. Step 4: Simplify right side
    20,874.48x = 372,021,318.72
  5. Step 5: Solve for x
    x = 372,021,318.72/20,874.48
  6. Step 6: Final answer
    x = 17,821.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.