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Finding the Fourth Proportional to 16,969.64, 23,412.85 and 9,891.05

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Solution

The fourth proportional to 16,969.64, 23,412.85 and 9,891.05 is: 13,646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,969.64 : 23,412.85 = 9,891.05 : x
  2. Step 2: Convert to fraction form
    16,969.64/23,412.85 = 9,891.05/x
  3. Step 3: Cross multiply
    16,969.64x = 23,412.85 × 9,891.05
  4. Step 4: Simplify right side
    16,969.64x = 231,577,528.20
  5. Step 5: Solve for x
    x = 231,577,528.20/16,969.64
  6. Step 6: Final answer
    x = 13,646.58

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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.