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Finding the Fourth Proportional to 16,509.60, 22,778.84 and 9,789.64

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Solution

The fourth proportional to 16,509.60, 22,778.84 and 9,789.64 is: 13,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.60 : 22,778.84 = 9,789.64 : x
  2. Step 2: Convert to fraction form
    16,509.60/22,778.84 = 9,789.64/x
  3. Step 3: Cross multiply
    16,509.60x = 22,778.84 × 9,789.64
  4. Step 4: Simplify right side
    16,509.60x = 222,996,610.74
  5. Step 5: Solve for x
    x = 222,996,610.74/16,509.60
  6. Step 6: Final answer
    x = 13,507.09

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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.