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Finding the Fourth Proportional to 13,026.70, 19,553.07 and 7,186.06

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Solution

The fourth proportional to 13,026.70, 19,553.07 and 7,186.06 is: 10,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.70 : 19,553.07 = 7,186.06 : x
  2. Step 2: Convert to fraction form
    13,026.70/19,553.07 = 7,186.06/x
  3. Step 3: Cross multiply
    13,026.70x = 19,553.07 × 7,186.06
  4. Step 4: Simplify right side
    13,026.70x = 140,509,534.20
  5. Step 5: Solve for x
    x = 140,509,534.20/13,026.70
  6. Step 6: Final answer
    x = 10,786.27

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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.