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Finding the Fourth Proportional to 14,011.40, 19,336.74 and 7,724.84

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Solution

The fourth proportional to 14,011.40, 19,336.74 and 7,724.84 is: 10,660.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,011.40 : 19,336.74 = 7,724.84 : x
  2. Step 2: Convert to fraction form
    14,011.40/19,336.74 = 7,724.84/x
  3. Step 3: Cross multiply
    14,011.40x = 19,336.74 × 7,724.84
  4. Step 4: Simplify right side
    14,011.40x = 149,373,222.62
  5. Step 5: Solve for x
    x = 149,373,222.62/14,011.40
  6. Step 6: Final answer
    x = 10,660.83

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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.