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Finding the Fourth Proportional to 16,714.46, 23,064.48 and 9,160.67

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Solution

The fourth proportional to 16,714.46, 23,064.48 and 9,160.67 is: 12,640.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.46 : 23,064.48 = 9,160.67 : x
  2. Step 2: Convert to fraction form
    16,714.46/23,064.48 = 9,160.67/x
  3. Step 3: Cross multiply
    16,714.46x = 23,064.48 × 9,160.67
  4. Step 4: Simplify right side
    16,714.46x = 211,285,974.68
  5. Step 5: Solve for x
    x = 211,285,974.68/16,714.46
  6. Step 6: Final answer
    x = 12,640.91

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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.