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Finding the Fourth Proportional to 16,824.67, 23,218.04 and 9,755.19

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Solution

The fourth proportional to 16,824.67, 23,218.04 and 9,755.19 is: 13,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824.67 : 23,218.04 = 9,755.19 : x
  2. Step 2: Convert to fraction form
    16,824.67/23,218.04 = 9,755.19/x
  3. Step 3: Cross multiply
    16,824.67x = 23,218.04 × 9,755.19
  4. Step 4: Simplify right side
    16,824.67x = 226,496,416.02
  5. Step 5: Solve for x
    x = 226,496,416.02/16,824.67
  6. Step 6: Final answer
    x = 13,462.16

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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.