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Finding the Fourth Proportional to 16,505.30, 22,777.10 and 9,431.57

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Solution

The fourth proportional to 16,505.30, 22,777.10 and 9,431.57 is: 13,015.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.30 : 22,777.10 = 9,431.57 : x
  2. Step 2: Convert to fraction form
    16,505.30/22,777.10 = 9,431.57/x
  3. Step 3: Cross multiply
    16,505.30x = 22,777.10 × 9,431.57
  4. Step 4: Simplify right side
    16,505.30x = 214,823,858.20
  5. Step 5: Solve for x
    x = 214,823,858.20/16,505.30
  6. Step 6: Final answer
    x = 13,015.45

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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.