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Finding the Fourth Proportional to 23,348.86, 32,221.83 and 12,738.58

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Solution

The fourth proportional to 23,348.86, 32,221.83 and 12,738.58 is: 17,579.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,348.86 : 32,221.83 = 12,738.58 : x
  2. Step 2: Convert to fraction form
    23,348.86/32,221.83 = 12,738.58/x
  3. Step 3: Cross multiply
    23,348.86x = 32,221.83 × 12,738.58
  4. Step 4: Simplify right side
    23,348.86x = 410,460,359.20
  5. Step 5: Solve for x
    x = 410,460,359.20/23,348.86
  6. Step 6: Final answer
    x = 17,579.46

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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.