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Finding the Fourth Proportional to 23,644.50, 32,629.63 and 13,034.51

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Solution

The fourth proportional to 23,644.50, 32,629.63 and 13,034.51 is: 17,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,644.50 : 32,629.63 = 13,034.51 : x
  2. Step 2: Convert to fraction form
    23,644.50/32,629.63 = 13,034.51/x
  3. Step 3: Cross multiply
    23,644.50x = 32,629.63 × 13,034.51
  4. Step 4: Simplify right side
    23,644.50x = 425,311,214.04
  5. Step 5: Solve for x
    x = 425,311,214.04/23,644.50
  6. Step 6: Final answer
    x = 17,987.75

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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.