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Finding the Fourth Proportional to 23,821.62, 32,873.58 and 13,211.16

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Solution

The fourth proportional to 23,821.62, 32,873.58 and 13,211.16 is: 18,231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,821.62 : 32,873.58 = 13,211.16 : x
  2. Step 2: Convert to fraction form
    23,821.62/32,873.58 = 13,211.16/x
  3. Step 3: Cross multiply
    23,821.62x = 32,873.58 × 13,211.16
  4. Step 4: Simplify right side
    23,821.62x = 434,298,125.15
  5. Step 5: Solve for x
    x = 434,298,125.15/23,821.62
  6. Step 6: Final answer
    x = 18,231.26

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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.