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Finding the Fourth Proportional to 14,506.46, 20,020.20 and 8,540

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Solution

The fourth proportional to 14,506.46, 20,020.20 and 8,540 is: 11,785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.46 : 20,020.20 = 8,540 : x
  2. Step 2: Convert to fraction form
    14,506.46/20,020.20 = 8,540/x
  3. Step 3: Cross multiply
    14,506.46x = 20,020.20 × 8,540
  4. Step 4: Simplify right side
    14,506.46x = 170,972,508
  5. Step 5: Solve for x
    x = 170,972,508/14,506.46
  6. Step 6: Final answer
    x = 11,785.96

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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.