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Finding the Fourth Proportional to 14,497.44, 21,749.92 and 6,711.84

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Solution

The fourth proportional to 14,497.44, 21,749.92 and 6,711.84 is: 10,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.44 : 21,749.92 = 6,711.84 : x
  2. Step 2: Convert to fraction form
    14,497.44/21,749.92 = 6,711.84/x
  3. Step 3: Cross multiply
    14,497.44x = 21,749.92 × 6,711.84
  4. Step 4: Simplify right side
    14,497.44x = 145,981,983.05
  5. Step 5: Solve for x
    x = 145,981,983.05/14,497.44
  6. Step 6: Final answer
    x = 10,069.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.