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Finding the Fourth Proportional to 16,861.48, 23,268.90 and 9,788.20

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Solution

The fourth proportional to 16,861.48, 23,268.90 and 9,788.20 is: 13,507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,861.48 : 23,268.90 = 9,788.20 : x
  2. Step 2: Convert to fraction form
    16,861.48/23,268.90 = 9,788.20/x
  3. Step 3: Cross multiply
    16,861.48x = 23,268.90 × 9,788.20
  4. Step 4: Simplify right side
    16,861.48x = 227,760,646.98
  5. Step 5: Solve for x
    x = 227,760,646.98/16,861.48
  6. Step 6: Final answer
    x = 13,507.75

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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.