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Finding the Fourth Proportional to 13,709.87, 20,561.61 and 3,850.10

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Solution

The fourth proportional to 13,709.87, 20,561.61 and 3,850.10 is: 5,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.87 : 20,561.61 = 3,850.10 : x
  2. Step 2: Convert to fraction form
    13,709.87/20,561.61 = 3,850.10/x
  3. Step 3: Cross multiply
    13,709.87x = 20,561.61 × 3,850.10
  4. Step 4: Simplify right side
    13,709.87x = 79,164,254.66
  5. Step 5: Solve for x
    x = 79,164,254.66/13,709.87
  6. Step 6: Final answer
    x = 5,774.25

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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.