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Finding the Fourth Proportional to 14,706.52, 20,294.40 and 7,992

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Solution

The fourth proportional to 14,706.52, 20,294.40 and 7,992 is: 11,028.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.52 : 20,294.40 = 7,992 : x
  2. Step 2: Convert to fraction form
    14,706.52/20,294.40 = 7,992/x
  3. Step 3: Cross multiply
    14,706.52x = 20,294.40 × 7,992
  4. Step 4: Simplify right side
    14,706.52x = 162,192,844.80
  5. Step 5: Solve for x
    x = 162,192,844.80/14,706.52
  6. Step 6: Final answer
    x = 11,028.64

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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.