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Finding the Fourth Proportional to 16,185.88, 22,347.66 and 9,902.44

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Solution

The fourth proportional to 16,185.88, 22,347.66 and 9,902.44 is: 13,672.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185.88 : 22,347.66 = 9,902.44 : x
  2. Step 2: Convert to fraction form
    16,185.88/22,347.66 = 9,902.44/x
  3. Step 3: Cross multiply
    16,185.88x = 22,347.66 × 9,902.44
  4. Step 4: Simplify right side
    16,185.88x = 221,296,362.29
  5. Step 5: Solve for x
    x = 221,296,362.29/16,185.88
  6. Step 6: Final answer
    x = 13,672.19

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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.