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Finding the Fourth Proportional to 23,829.80, 32,884.72 and 13,219.20

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Solution

The fourth proportional to 23,829.80, 32,884.72 and 13,219.20 is: 18,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,829.80 : 32,884.72 = 13,219.20 : x
  2. Step 2: Convert to fraction form
    23,829.80/32,884.72 = 13,219.20/x
  3. Step 3: Cross multiply
    23,829.80x = 32,884.72 × 13,219.20
  4. Step 4: Simplify right side
    23,829.80x = 434,709,657.58
  5. Step 5: Solve for x
    x = 434,709,657.58/23,829.80
  6. Step 6: Final answer
    x = 18,242.27

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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.