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Finding the Fourth Proportional to 16,802.64, 23,185.98 and 9,731.34

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Solution

The fourth proportional to 16,802.64, 23,185.98 and 9,731.34 is: 13,428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,802.64 : 23,185.98 = 9,731.34 : x
  2. Step 2: Convert to fraction form
    16,802.64/23,185.98 = 9,731.34/x
  3. Step 3: Cross multiply
    16,802.64x = 23,185.98 × 9,731.34
  4. Step 4: Simplify right side
    16,802.64x = 225,630,654.61
  5. Step 5: Solve for x
    x = 225,630,654.61/16,802.64
  6. Step 6: Final answer
    x = 13,428.29

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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.