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Finding the Fourth Proportional to 12,175.96, 16,802.84 and 6,586.96

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Solution

The fourth proportional to 12,175.96, 16,802.84 and 6,586.96 is: 9,090.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.96 : 16,802.84 = 6,586.96 : x
  2. Step 2: Convert to fraction form
    12,175.96/16,802.84 = 6,586.96/x
  3. Step 3: Cross multiply
    12,175.96x = 16,802.84 × 6,586.96
  4. Step 4: Simplify right side
    12,175.96x = 110,679,634.97
  5. Step 5: Solve for x
    x = 110,679,634.97/12,175.96
  6. Step 6: Final answer
    x = 9,090.01

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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.