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Finding the Fourth Proportional to 14,154.63, 21,231.98 and 3,766.38

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Solution

The fourth proportional to 14,154.63, 21,231.98 and 3,766.38 is: 5,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154.63 : 21,231.98 = 3,766.38 : x
  2. Step 2: Convert to fraction form
    14,154.63/21,231.98 = 3,766.38/x
  3. Step 3: Cross multiply
    14,154.63x = 21,231.98 × 3,766.38
  4. Step 4: Simplify right side
    14,154.63x = 79,967,704.83
  5. Step 5: Solve for x
    x = 79,967,704.83/14,154.63
  6. Step 6: Final answer
    x = 5,649.58

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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.