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Finding the Fourth Proportional to 23,823.20, 32,874.90 and 13,212.60

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Solution

The fourth proportional to 23,823.20, 32,874.90 and 13,212.60 is: 18,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.20 : 32,874.90 = 13,212.60 : x
  2. Step 2: Convert to fraction form
    23,823.20/32,874.90 = 13,212.60/x
  3. Step 3: Cross multiply
    23,823.20x = 32,874.90 × 13,212.60
  4. Step 4: Simplify right side
    23,823.20x = 434,362,903.74
  5. Step 5: Solve for x
    x = 434,362,903.74/23,823.20
  6. Step 6: Final answer
    x = 18,232.77

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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.