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Finding the Fourth Proportional to 13,105.99, 18,084.88 and 7,655.23

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Solution

The fourth proportional to 13,105.99, 18,084.88 and 7,655.23 is: 10,563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.99 : 18,084.88 = 7,655.23 : x
  2. Step 2: Convert to fraction form
    13,105.99/18,084.88 = 7,655.23/x
  3. Step 3: Cross multiply
    13,105.99x = 18,084.88 × 7,655.23
  4. Step 4: Simplify right side
    13,105.99x = 138,443,915.92
  5. Step 5: Solve for x
    x = 138,443,915.92/13,105.99
  6. Step 6: Final answer
    x = 10,563.41

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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.