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Finding the Fourth Proportional to 13,704.76, 18,913.42 and 7,734.25

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Solution

The fourth proportional to 13,704.76, 18,913.42 and 7,734.25 is: 10,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.76 : 18,913.42 = 7,734.25 : x
  2. Step 2: Convert to fraction form
    13,704.76/18,913.42 = 7,734.25/x
  3. Step 3: Cross multiply
    13,704.76x = 18,913.42 × 7,734.25
  4. Step 4: Simplify right side
    13,704.76x = 146,281,118.64
  5. Step 5: Solve for x
    x = 146,281,118.64/13,704.76
  6. Step 6: Final answer
    x = 10,673.75

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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.