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Finding the Fourth Proportional to 13,735.50, 18,958.02 and 7,767.42

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Solution

The fourth proportional to 13,735.50, 18,958.02 and 7,767.42 is: 10,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.50 : 18,958.02 = 7,767.42 : x
  2. Step 2: Convert to fraction form
    13,735.50/18,958.02 = 7,767.42/x
  3. Step 3: Cross multiply
    13,735.50x = 18,958.02 × 7,767.42
  4. Step 4: Simplify right side
    13,735.50x = 147,254,903.71
  5. Step 5: Solve for x
    x = 147,254,903.71/13,735.50
  6. Step 6: Final answer
    x = 10,720.75

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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.