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Finding the Fourth Proportional to 22,096.82, 30,495.24 and 12,538.34

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Solution

The fourth proportional to 22,096.82, 30,495.24 and 12,538.34 is: 17,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,096.82 : 30,495.24 = 12,538.34 : x
  2. Step 2: Convert to fraction form
    22,096.82/30,495.24 = 12,538.34/x
  3. Step 3: Cross multiply
    22,096.82x = 30,495.24 × 12,538.34
  4. Step 4: Simplify right side
    22,096.82x = 382,359,790.06
  5. Step 5: Solve for x
    x = 382,359,790.06/22,096.82
  6. Step 6: Final answer
    x = 17,303.84

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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.