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Finding the Fourth Proportional to 23,431.57, 32,336.09 and 12,821.20

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Solution

The fourth proportional to 23,431.57, 32,336.09 and 12,821.20 is: 17,693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,431.57 : 32,336.09 = 12,821.20 : x
  2. Step 2: Convert to fraction form
    23,431.57/32,336.09 = 12,821.20/x
  3. Step 3: Cross multiply
    23,431.57x = 32,336.09 × 12,821.20
  4. Step 4: Simplify right side
    23,431.57x = 414,587,477.11
  5. Step 5: Solve for x
    x = 414,587,477.11/23,431.57
  6. Step 6: Final answer
    x = 17,693.54

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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.