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Finding the Fourth Proportional to 16,400.67, 22,633.98 and 9,684.48

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Solution

The fourth proportional to 16,400.67, 22,633.98 and 9,684.48 is: 13,365.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.67 : 22,633.98 = 9,684.48 : x
  2. Step 2: Convert to fraction form
    16,400.67/22,633.98 = 9,684.48/x
  3. Step 3: Cross multiply
    16,400.67x = 22,633.98 × 9,684.48
  4. Step 4: Simplify right side
    16,400.67x = 219,198,326.63
  5. Step 5: Solve for x
    x = 219,198,326.63/16,400.67
  6. Step 6: Final answer
    x = 13,365.21

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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.