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Finding the Fourth Proportional to 13,820.50, 20,730.89 and 3,432.25

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Solution

The fourth proportional to 13,820.50, 20,730.89 and 3,432.25 is: 5,148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.50 : 20,730.89 = 3,432.25 : x
  2. Step 2: Convert to fraction form
    13,820.50/20,730.89 = 3,432.25/x
  3. Step 3: Cross multiply
    13,820.50x = 20,730.89 × 3,432.25
  4. Step 4: Simplify right side
    13,820.50x = 71,153,597.20
  5. Step 5: Solve for x
    x = 71,153,597.20/13,820.50
  6. Step 6: Final answer
    x = 5,148.41

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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.