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Finding the Fourth Proportional to 16,172.22, 22,317.66 and 9,098.63

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Solution

The fourth proportional to 16,172.22, 22,317.66 and 9,098.63 is: 12,556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172.22 : 22,317.66 = 9,098.63 : x
  2. Step 2: Convert to fraction form
    16,172.22/22,317.66 = 9,098.63/x
  3. Step 3: Cross multiply
    16,172.22x = 22,317.66 × 9,098.63
  4. Step 4: Simplify right side
    16,172.22x = 203,060,102.91
  5. Step 5: Solve for x
    x = 203,060,102.91/16,172.22
  6. Step 6: Final answer
    x = 12,556.10

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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.