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Finding the Fourth Proportional to 16,172.33, 22,317.73 and 9,098.80

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Solution

The fourth proportional to 16,172.33, 22,317.73 and 9,098.80 is: 12,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172.33 : 22,317.73 = 9,098.80 : x
  2. Step 2: Convert to fraction form
    16,172.33/22,317.73 = 9,098.80/x
  3. Step 3: Cross multiply
    16,172.33x = 22,317.73 × 9,098.80
  4. Step 4: Simplify right side
    16,172.33x = 203,064,483.18
  5. Step 5: Solve for x
    x = 203,064,483.18/16,172.33
  6. Step 6: Final answer
    x = 12,556.29

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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.