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Finding the Fourth Proportional to 20,491.74, 30,715.74 and 14,630.58

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Solution

The fourth proportional to 20,491.74, 30,715.74 and 14,630.58 is: 21,930.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,491.74 : 30,715.74 = 14,630.58 : x
  2. Step 2: Convert to fraction form
    20,491.74/30,715.74 = 14,630.58/x
  3. Step 3: Cross multiply
    20,491.74x = 30,715.74 × 14,630.58
  4. Step 4: Simplify right side
    20,491.74x = 449,389,091.33
  5. Step 5: Solve for x
    x = 449,389,091.33/20,491.74
  6. Step 6: Final answer
    x = 21,930.26

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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.