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Finding the Fourth Proportional to 14,517.18, 20,036 and 8,146.36

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Solution

The fourth proportional to 14,517.18, 20,036 and 8,146.36 is: 11,243.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.18 : 20,036 = 8,146.36 : x
  2. Step 2: Convert to fraction form
    14,517.18/20,036 = 8,146.36/x
  3. Step 3: Cross multiply
    14,517.18x = 20,036 × 8,146.36
  4. Step 4: Simplify right side
    14,517.18x = 163,220,468.96
  5. Step 5: Solve for x
    x = 163,220,468.96/14,517.18
  6. Step 6: Final answer
    x = 11,243.26

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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.