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Finding the Fourth Proportional to 20,706.16, 31,063.76 and 5,914.72

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Solution

The fourth proportional to 20,706.16, 31,063.76 and 5,914.72 is: 8,873.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.16 : 31,063.76 = 5,914.72 : x
  2. Step 2: Convert to fraction form
    20,706.16/31,063.76 = 5,914.72/x
  3. Step 3: Cross multiply
    20,706.16x = 31,063.76 × 5,914.72
  4. Step 4: Simplify right side
    20,706.16x = 183,733,442.55
  5. Step 5: Solve for x
    x = 183,733,442.55/20,706.16
  6. Step 6: Final answer
    x = 8,873.37

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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.