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Finding the Fourth Proportional to 14,706.71, 20,295.24 and 7,992.32

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Solution

The fourth proportional to 14,706.71, 20,295.24 and 7,992.32 is: 11,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.71 : 20,295.24 = 7,992.32 : x
  2. Step 2: Convert to fraction form
    14,706.71/20,295.24 = 7,992.32/x
  3. Step 3: Cross multiply
    14,706.71x = 20,295.24 × 7,992.32
  4. Step 4: Simplify right side
    14,706.71x = 162,206,103.29
  5. Step 5: Solve for x
    x = 162,206,103.29/14,706.71
  6. Step 6: Final answer
    x = 11,029.39

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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.