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Finding the Fourth Proportional to 23,653.63, 32,642.13 and 13,043.27

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Solution

The fourth proportional to 23,653.63, 32,642.13 and 13,043.27 is: 17,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.63 : 32,642.13 = 13,043.27 : x
  2. Step 2: Convert to fraction form
    23,653.63/32,642.13 = 13,043.27/x
  3. Step 3: Cross multiply
    23,653.63x = 32,642.13 × 13,043.27
  4. Step 4: Simplify right side
    23,653.63x = 425,760,114.97
  5. Step 5: Solve for x
    x = 425,760,114.97/23,653.63
  6. Step 6: Final answer
    x = 17,999.78

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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.