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Finding the Fourth Proportional to 16,802.44, 23,184.66 and 10,087

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Solution

The fourth proportional to 16,802.44, 23,184.66 and 10,087 is: 13,918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,802.44 : 23,184.66 = 10,087 : x
  2. Step 2: Convert to fraction form
    16,802.44/23,184.66 = 10,087/x
  3. Step 3: Cross multiply
    16,802.44x = 23,184.66 × 10,087
  4. Step 4: Simplify right side
    16,802.44x = 233,863,665.42
  5. Step 5: Solve for x
    x = 233,863,665.42/16,802.44
  6. Step 6: Final answer
    x = 13,918.43

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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.