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Finding the Fourth Proportional to 14,538.67, 20,063.11 and 8,165.32

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Solution

The fourth proportional to 14,538.67, 20,063.11 and 8,165.32 is: 11,268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538.67 : 20,063.11 = 8,165.32 : x
  2. Step 2: Convert to fraction form
    14,538.67/20,063.11 = 8,165.32/x
  3. Step 3: Cross multiply
    14,538.67x = 20,063.11 × 8,165.32
  4. Step 4: Simplify right side
    14,538.67x = 163,821,713.35
  5. Step 5: Solve for x
    x = 163,821,713.35/14,538.67
  6. Step 6: Final answer
    x = 11,268.00

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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.