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Finding the Fourth Proportional to 14,011.31, 19,336.02 and 7,724.09

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Solution

The fourth proportional to 14,011.31, 19,336.02 and 7,724.09 is: 10,659.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,011.31 : 19,336.02 = 7,724.09 : x
  2. Step 2: Convert to fraction form
    14,011.31/19,336.02 = 7,724.09/x
  3. Step 3: Cross multiply
    14,011.31x = 19,336.02 × 7,724.09
  4. Step 4: Simplify right side
    14,011.31x = 149,353,178.10
  5. Step 5: Solve for x
    x = 149,353,178.10/14,011.31
  6. Step 6: Final answer
    x = 10,659.47

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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.