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Finding the Fourth Proportional to 14,696.82, 22,049.33 and 4,838.92

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Solution

The fourth proportional to 14,696.82, 22,049.33 and 4,838.92 is: 7,259.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.82 : 22,049.33 = 4,838.92 : x
  2. Step 2: Convert to fraction form
    14,696.82/22,049.33 = 4,838.92/x
  3. Step 3: Cross multiply
    14,696.82x = 22,049.33 × 4,838.92
  4. Step 4: Simplify right side
    14,696.82x = 106,694,943.92
  5. Step 5: Solve for x
    x = 106,694,943.92/14,696.82
  6. Step 6: Final answer
    x = 7,259.73

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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.