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Finding the Fourth Proportional to 13,026.34, 17,976.11 and 7,360.96

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Solution

The fourth proportional to 13,026.34, 17,976.11 and 7,360.96 is: 10,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.34 : 17,976.11 = 7,360.96 : x
  2. Step 2: Convert to fraction form
    13,026.34/17,976.11 = 7,360.96/x
  3. Step 3: Cross multiply
    13,026.34x = 17,976.11 × 7,360.96
  4. Step 4: Simplify right side
    13,026.34x = 132,321,389.86
  5. Step 5: Solve for x
    x = 132,321,389.86/13,026.34
  6. Step 6: Final answer
    x = 10,157.99

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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.