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Finding the Fourth Proportional to 14,012.46, 19,336.32 and 7,724.82

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Solution

The fourth proportional to 14,012.46, 19,336.32 and 7,724.82 is: 10,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012.46 : 19,336.32 = 7,724.82 : x
  2. Step 2: Convert to fraction form
    14,012.46/19,336.32 = 7,724.82/x
  3. Step 3: Cross multiply
    14,012.46x = 19,336.32 × 7,724.82
  4. Step 4: Simplify right side
    14,012.46x = 149,369,591.46
  5. Step 5: Solve for x
    x = 149,369,591.46/14,012.46
  6. Step 6: Final answer
    x = 10,659.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.