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Finding the Fourth Proportional to 16,498.36, 22,769.40 and 9,785.08

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Solution

The fourth proportional to 16,498.36, 22,769.40 and 9,785.08 is: 13,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.36 : 22,769.40 = 9,785.08 : x
  2. Step 2: Convert to fraction form
    16,498.36/22,769.40 = 9,785.08/x
  3. Step 3: Cross multiply
    16,498.36x = 22,769.40 × 9,785.08
  4. Step 4: Simplify right side
    16,498.36x = 222,800,400.55
  5. Step 5: Solve for x
    x = 222,800,400.55/16,498.36
  6. Step 6: Final answer
    x = 13,504.40

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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.