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Finding the Fourth Proportional to 13,575.14, 20,362.71 and 3,713.67

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Solution

The fourth proportional to 13,575.14, 20,362.71 and 3,713.67 is: 5,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.14 : 20,362.71 = 3,713.67 : x
  2. Step 2: Convert to fraction form
    13,575.14/20,362.71 = 3,713.67/x
  3. Step 3: Cross multiply
    13,575.14x = 20,362.71 × 3,713.67
  4. Step 4: Simplify right side
    13,575.14x = 75,620,385.25
  5. Step 5: Solve for x
    x = 75,620,385.25/13,575.14
  6. Step 6: Final answer
    x = 5,570.51

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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.