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Finding the Fourth Proportional to 14,354.66, 21,532.39 and 3,966.41

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Solution

The fourth proportional to 14,354.66, 21,532.39 and 3,966.41 is: 5,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,354.66 : 21,532.39 = 3,966.41 : x
  2. Step 2: Convert to fraction form
    14,354.66/21,532.39 = 3,966.41/x
  3. Step 3: Cross multiply
    14,354.66x = 21,532.39 × 3,966.41
  4. Step 4: Simplify right side
    14,354.66x = 85,406,169.44
  5. Step 5: Solve for x
    x = 85,406,169.44/14,354.66
  6. Step 6: Final answer
    x = 5,949.72

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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.