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Finding the Fourth Proportional to 13,040.88, 17,989.74 and 8,320.20

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Solution

The fourth proportional to 13,040.88, 17,989.74 and 8,320.20 is: 11,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,040.88 : 17,989.74 = 8,320.20 : x
  2. Step 2: Convert to fraction form
    13,040.88/17,989.74 = 8,320.20/x
  3. Step 3: Cross multiply
    13,040.88x = 17,989.74 × 8,320.20
  4. Step 4: Simplify right side
    13,040.88x = 149,678,234.75
  5. Step 5: Solve for x
    x = 149,678,234.75/13,040.88
  6. Step 6: Final answer
    x = 11,477.62

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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.