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Finding the Fourth Proportional to 23,201.44, 32,026.29 and 13,770

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Solution

The fourth proportional to 23,201.44, 32,026.29 and 13,770 is: 19,007.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.44 : 32,026.29 = 13,770 : x
  2. Step 2: Convert to fraction form
    23,201.44/32,026.29 = 13,770/x
  3. Step 3: Cross multiply
    23,201.44x = 32,026.29 × 13,770
  4. Step 4: Simplify right side
    23,201.44x = 441,001,961.66
  5. Step 5: Solve for x
    x = 441,001,961.66/23,201.44
  6. Step 6: Final answer
    x = 19,007.53

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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.