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Finding the Fourth Proportional to 13,083.23, 18,049.53 and 7,416.78

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Solution

The fourth proportional to 13,083.23, 18,049.53 and 7,416.78 is: 10,232.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.23 : 18,049.53 = 7,416.78 : x
  2. Step 2: Convert to fraction form
    13,083.23/18,049.53 = 7,416.78/x
  3. Step 3: Cross multiply
    13,083.23x = 18,049.53 × 7,416.78
  4. Step 4: Simplify right side
    13,083.23x = 133,869,265.78
  5. Step 5: Solve for x
    x = 133,869,265.78/13,083.23
  6. Step 6: Final answer
    x = 10,232.13

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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.