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Finding the Fourth Proportional to 23,205.57, 32,023.83 and 13,644.96

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Solution

The fourth proportional to 23,205.57, 32,023.83 and 13,644.96 is: 18,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.57 : 32,023.83 = 13,644.96 : x
  2. Step 2: Convert to fraction form
    23,205.57/32,023.83 = 13,644.96/x
  3. Step 3: Cross multiply
    23,205.57x = 32,023.83 × 13,644.96
  4. Step 4: Simplify right side
    23,205.57x = 436,963,879.40
  5. Step 5: Solve for x
    x = 436,963,879.40/23,205.57
  6. Step 6: Final answer
    x = 18,830.13

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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.