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Finding the Fourth Proportional to 16,172.24, 22,317.65 and 9,098.67

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Solution

The fourth proportional to 16,172.24, 22,317.65 and 9,098.67 is: 12,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172.24 : 22,317.65 = 9,098.67 : x
  2. Step 2: Convert to fraction form
    16,172.24/22,317.65 = 9,098.67/x
  3. Step 3: Cross multiply
    16,172.24x = 22,317.65 × 9,098.67
  4. Step 4: Simplify right side
    16,172.24x = 203,060,932.53
  5. Step 5: Solve for x
    x = 203,060,932.53/16,172.24
  6. Step 6: Final answer
    x = 12,556.14

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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.