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Finding the Fourth Proportional to 16,802.30, 23,185.82 and 9,729.18

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Solution

The fourth proportional to 16,802.30, 23,185.82 and 9,729.18 is: 13,425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,802.30 : 23,185.82 = 9,729.18 : x
  2. Step 2: Convert to fraction form
    16,802.30/23,185.82 = 9,729.18/x
  3. Step 3: Cross multiply
    16,802.30x = 23,185.82 × 9,729.18
  4. Step 4: Simplify right side
    16,802.30x = 225,579,016.23
  5. Step 5: Solve for x
    x = 225,579,016.23/16,802.30
  6. Step 6: Final answer
    x = 13,425.48

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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.