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Finding the Fourth Proportional to 13,096.53, 18,082.42 and 10,228.50

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Solution

The fourth proportional to 13,096.53, 18,082.42 and 10,228.50 is: 14,122.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.53 : 18,082.42 = 10,228.50 : x
  2. Step 2: Convert to fraction form
    13,096.53/18,082.42 = 10,228.50/x
  3. Step 3: Cross multiply
    13,096.53x = 18,082.42 × 10,228.50
  4. Step 4: Simplify right side
    13,096.53x = 184,956,007.40
  5. Step 5: Solve for x
    x = 184,956,007.40/13,096.53
  6. Step 6: Final answer
    x = 14,122.52

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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.