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Finding the Fourth Proportional to 28,706.46, 43,033.74 and 10,234.14

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Solution

The fourth proportional to 28,706.46, 43,033.74 and 10,234.14 is: 15,341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,706.46 : 43,033.74 = 10,234.14 : x
  2. Step 2: Convert to fraction form
    28,706.46/43,033.74 = 10,234.14/x
  3. Step 3: Cross multiply
    28,706.46x = 43,033.74 × 10,234.14
  4. Step 4: Simplify right side
    28,706.46x = 440,413,319.88
  5. Step 5: Solve for x
    x = 440,413,319.88/28,706.46
  6. Step 6: Final answer
    x = 15,341.96

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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.