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Finding the Fourth Proportional to 12,704.70, 17,532.60 and 7,039.57

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Solution

The fourth proportional to 12,704.70, 17,532.60 and 7,039.57 is: 9,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.70 : 17,532.60 = 7,039.57 : x
  2. Step 2: Convert to fraction form
    12,704.70/17,532.60 = 7,039.57/x
  3. Step 3: Cross multiply
    12,704.70x = 17,532.60 × 7,039.57
  4. Step 4: Simplify right side
    12,704.70x = 123,421,964.98
  5. Step 5: Solve for x
    x = 123,421,964.98/12,704.70
  6. Step 6: Final answer
    x = 9,714.67

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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.