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Finding the Fourth Proportional to 14,727, 20,323.26 and 8,103

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Solution

The fourth proportional to 14,727, 20,323.26 and 8,103 is: 11,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,727 : 20,323.26 = 8,103 : x
  2. Step 2: Convert to fraction form
    14,727/20,323.26 = 8,103/x
  3. Step 3: Cross multiply
    14,727x = 20,323.26 × 8,103
  4. Step 4: Simplify right side
    14,727x = 164,679,375.78
  5. Step 5: Solve for x
    x = 164,679,375.78/14,727
  6. Step 6: Final answer
    x = 11,182.14

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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.