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Finding the Fourth Proportional to 13,025.13, 17,983.31 and 8,065.77

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Solution

The fourth proportional to 13,025.13, 17,983.31 and 8,065.77 is: 11,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.13 : 17,983.31 = 8,065.77 : x
  2. Step 2: Convert to fraction form
    13,025.13/17,983.31 = 8,065.77/x
  3. Step 3: Cross multiply
    13,025.13x = 17,983.31 × 8,065.77
  4. Step 4: Simplify right side
    13,025.13x = 145,049,242.30
  5. Step 5: Solve for x
    x = 145,049,242.30/13,025.13
  6. Step 6: Final answer
    x = 11,136.11

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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.