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Finding the Fourth Proportional to 12,049.34, 16,627.58 and 7,013.70

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Solution

The fourth proportional to 12,049.34, 16,627.58 and 7,013.70 is: 9,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.34 : 16,627.58 = 7,013.70 : x
  2. Step 2: Convert to fraction form
    12,049.34/16,627.58 = 7,013.70/x
  3. Step 3: Cross multiply
    12,049.34x = 16,627.58 × 7,013.70
  4. Step 4: Simplify right side
    12,049.34x = 116,620,857.85
  5. Step 5: Solve for x
    x = 116,620,857.85/12,049.34
  6. Step 6: Final answer
    x = 9,678.61

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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.