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Finding the Fourth Proportional to 23,802.64, 32,851.70 and 13,729.27

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Solution

The fourth proportional to 23,802.64, 32,851.70 and 13,729.27 is: 18,948.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.64 : 32,851.70 = 13,729.27 : x
  2. Step 2: Convert to fraction form
    23,802.64/32,851.70 = 13,729.27/x
  3. Step 3: Cross multiply
    23,802.64x = 32,851.70 × 13,729.27
  4. Step 4: Simplify right side
    23,802.64x = 451,029,859.26
  5. Step 5: Solve for x
    x = 451,029,859.26/23,802.64
  6. Step 6: Final answer
    x = 18,948.73

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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.