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Finding the Fourth Proportional to 13,143.25, 19,712.21 and 4,820.43

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Solution

The fourth proportional to 13,143.25, 19,712.21 and 4,820.43 is: 7,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.25 : 19,712.21 = 4,820.43 : x
  2. Step 2: Convert to fraction form
    13,143.25/19,712.21 = 4,820.43/x
  3. Step 3: Cross multiply
    13,143.25x = 19,712.21 × 4,820.43
  4. Step 4: Simplify right side
    13,143.25x = 95,021,304.35
  5. Step 5: Solve for x
    x = 95,021,304.35/13,143.25
  6. Step 6: Final answer
    x = 7,229.67

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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.