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Finding the Fourth Proportional to 16,739.32, 23,098.78 and 9,567.82

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Solution

The fourth proportional to 16,739.32, 23,098.78 and 9,567.82 is: 13,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,739.32 : 23,098.78 = 9,567.82 : x
  2. Step 2: Convert to fraction form
    16,739.32/23,098.78 = 9,567.82/x
  3. Step 3: Cross multiply
    16,739.32x = 23,098.78 × 9,567.82
  4. Step 4: Simplify right side
    16,739.32x = 221,005,023.55
  5. Step 5: Solve for x
    x = 221,005,023.55/16,739.32
  6. Step 6: Final answer
    x = 13,202.75

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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.