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Finding the Fourth Proportional to 14,706.71, 20,295.39 and 7,992.34

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Solution

The fourth proportional to 14,706.71, 20,295.39 and 7,992.34 is: 11,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.71 : 20,295.39 = 7,992.34 : x
  2. Step 2: Convert to fraction form
    14,706.71/20,295.39 = 7,992.34/x
  3. Step 3: Cross multiply
    14,706.71x = 20,295.39 × 7,992.34
  4. Step 4: Simplify right side
    14,706.71x = 162,207,572.56
  5. Step 5: Solve for x
    x = 162,207,572.56/14,706.71
  6. Step 6: Final answer
    x = 11,029.49

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Why These Related Problems?

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