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Finding the Fourth Proportional to 23,830.81, 32,884.99 and 13,221.16

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Solution

The fourth proportional to 23,830.81, 32,884.99 and 13,221.16 is: 18,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.81 : 32,884.99 = 13,221.16 : x
  2. Step 2: Convert to fraction form
    23,830.81/32,884.99 = 13,221.16/x
  3. Step 3: Cross multiply
    23,830.81x = 32,884.99 × 13,221.16
  4. Step 4: Simplify right side
    23,830.81x = 434,777,599.12
  5. Step 5: Solve for x
    x = 434,777,599.12/23,830.81
  6. Step 6: Final answer
    x = 18,244.35

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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.