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Finding the Fourth Proportional to 16,185.82, 22,349.10 and 12,659.08

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Solution

The fourth proportional to 16,185.82, 22,349.10 and 12,659.08 is: 17,479.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185.82 : 22,349.10 = 12,659.08 : x
  2. Step 2: Convert to fraction form
    16,185.82/22,349.10 = 12,659.08/x
  3. Step 3: Cross multiply
    16,185.82x = 22,349.10 × 12,659.08
  4. Step 4: Simplify right side
    16,185.82x = 282,919,044.83
  5. Step 5: Solve for x
    x = 282,919,044.83/16,185.82
  6. Step 6: Final answer
    x = 17,479.44

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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.