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Finding the Fourth Proportional to 23,349.30, 32,221.09 and 12,738.66

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Solution

The fourth proportional to 23,349.30, 32,221.09 and 12,738.66 is: 17,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,349.30 : 32,221.09 = 12,738.66 : x
  2. Step 2: Convert to fraction form
    23,349.30/32,221.09 = 12,738.66/x
  3. Step 3: Cross multiply
    23,349.30x = 32,221.09 × 12,738.66
  4. Step 4: Simplify right side
    23,349.30x = 410,453,510.34
  5. Step 5: Solve for x
    x = 410,453,510.34/23,349.30
  6. Step 6: Final answer
    x = 17,578.84

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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.