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Finding the Fourth Proportional to 14,144.76, 21,205.62 and 5,931

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Solution

The fourth proportional to 14,144.76, 21,205.62 and 5,931 is: 8,891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.76 : 21,205.62 = 5,931 : x
  2. Step 2: Convert to fraction form
    14,144.76/21,205.62 = 5,931/x
  3. Step 3: Cross multiply
    14,144.76x = 21,205.62 × 5,931
  4. Step 4: Simplify right side
    14,144.76x = 125,770,532.22
  5. Step 5: Solve for x
    x = 125,770,532.22/14,144.76
  6. Step 6: Final answer
    x = 8,891.67

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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.