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Finding the Fourth Proportional to 16,537.58, 22,820.67 and 9,365.43

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Solution

The fourth proportional to 16,537.58, 22,820.67 and 9,365.43 is: 12,923.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.58 : 22,820.67 = 9,365.43 : x
  2. Step 2: Convert to fraction form
    16,537.58/22,820.67 = 9,365.43/x
  3. Step 3: Cross multiply
    16,537.58x = 22,820.67 × 9,365.43
  4. Step 4: Simplify right side
    16,537.58x = 213,725,387.44
  5. Step 5: Solve for x
    x = 213,725,387.44/16,537.58
  6. Step 6: Final answer
    x = 12,923.62

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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.