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Finding the Fourth Proportional to 12,185.16, 18,287.64 and 6,343.44

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Solution

The fourth proportional to 12,185.16, 18,287.64 and 6,343.44 is: 9,520.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.16 : 18,287.64 = 6,343.44 : x
  2. Step 2: Convert to fraction form
    12,185.16/18,287.64 = 6,343.44/x
  3. Step 3: Cross multiply
    12,185.16x = 18,287.64 × 6,343.44
  4. Step 4: Simplify right side
    12,185.16x = 116,006,547.08
  5. Step 5: Solve for x
    x = 116,006,547.08/12,185.16
  6. Step 6: Final answer
    x = 9,520.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.