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Finding the Fourth Proportional to 23,531.20, 32,470.94 and 12,920.60

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Solution

The fourth proportional to 23,531.20, 32,470.94 and 12,920.60 is: 17,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,531.20 : 32,470.94 = 12,920.60 : x
  2. Step 2: Convert to fraction form
    23,531.20/32,470.94 = 12,920.60/x
  3. Step 3: Cross multiply
    23,531.20x = 32,470.94 × 12,920.60
  4. Step 4: Simplify right side
    23,531.20x = 419,544,027.36
  5. Step 5: Solve for x
    x = 419,544,027.36/23,531.20
  6. Step 6: Final answer
    x = 17,829.27

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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.