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Finding the Fourth Proportional to 13,096.37, 18,072.63 and 7,430.96

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Solution

The fourth proportional to 13,096.37, 18,072.63 and 7,430.96 is: 10,254.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.37 : 18,072.63 = 7,430.96 : x
  2. Step 2: Convert to fraction form
    13,096.37/18,072.63 = 7,430.96/x
  3. Step 3: Cross multiply
    13,096.37x = 18,072.63 × 7,430.96
  4. Step 4: Simplify right side
    13,096.37x = 134,296,900.26
  5. Step 5: Solve for x
    x = 134,296,900.26/13,096.37
  6. Step 6: Final answer
    x = 10,254.52

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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.