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Finding the Fourth Proportional to 13,704, 20,543.67 and 4,932.75

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Solution

The fourth proportional to 13,704, 20,543.67 and 4,932.75 is: 7,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704 : 20,543.67 = 4,932.75 : x
  2. Step 2: Convert to fraction form
    13,704/20,543.67 = 4,932.75/x
  3. Step 3: Cross multiply
    13,704x = 20,543.67 × 4,932.75
  4. Step 4: Simplify right side
    13,704x = 101,336,788.19
  5. Step 5: Solve for x
    x = 101,336,788.19/13,704
  6. Step 6: Final answer
    x = 7,394.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.