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Finding the Fourth Proportional to 14,462.29, 21,696.63 and 6,149.44

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Solution

The fourth proportional to 14,462.29, 21,696.63 and 6,149.44 is: 9,225.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.29 : 21,696.63 = 6,149.44 : x
  2. Step 2: Convert to fraction form
    14,462.29/21,696.63 = 6,149.44/x
  3. Step 3: Cross multiply
    14,462.29x = 21,696.63 × 6,149.44
  4. Step 4: Simplify right side
    14,462.29x = 133,422,015.90
  5. Step 5: Solve for x
    x = 133,422,015.90/14,462.29
  6. Step 6: Final answer
    x = 9,225.51

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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.