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Finding the Fourth Proportional to 14,644.63, 21,969.68 and 5,157.91

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Solution

The fourth proportional to 14,644.63, 21,969.68 and 5,157.91 is: 7,737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.63 : 21,969.68 = 5,157.91 : x
  2. Step 2: Convert to fraction form
    14,644.63/21,969.68 = 5,157.91/x
  3. Step 3: Cross multiply
    14,644.63x = 21,969.68 × 5,157.91
  4. Step 4: Simplify right side
    14,644.63x = 113,317,632.17
  5. Step 5: Solve for x
    x = 113,317,632.17/14,644.63
  6. Step 6: Final answer
    x = 7,737.83

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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.