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Finding the Fourth Proportional to 13,415.13, 20,124.53 and 5,096.02

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Solution

The fourth proportional to 13,415.13, 20,124.53 and 5,096.02 is: 7,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.13 : 20,124.53 = 5,096.02 : x
  2. Step 2: Convert to fraction form
    13,415.13/20,124.53 = 5,096.02/x
  3. Step 3: Cross multiply
    13,415.13x = 20,124.53 × 5,096.02
  4. Step 4: Simplify right side
    13,415.13x = 102,555,007.37
  5. Step 5: Solve for x
    x = 102,555,007.37/13,415.13
  6. Step 6: Final answer
    x = 7,644.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.