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Finding the Fourth Proportional to 14,537.30, 20,062.54 and 8,164.27

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Solution

The fourth proportional to 14,537.30, 20,062.54 and 8,164.27 is: 11,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.30 : 20,062.54 = 8,164.27 : x
  2. Step 2: Convert to fraction form
    14,537.30/20,062.54 = 8,164.27/x
  3. Step 3: Cross multiply
    14,537.30x = 20,062.54 × 8,164.27
  4. Step 4: Simplify right side
    14,537.30x = 163,795,932.95
  5. Step 5: Solve for x
    x = 163,795,932.95/14,537.30
  6. Step 6: Final answer
    x = 11,267.29

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