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Finding the Fourth Proportional to 16,500.31, 22,771.63 and 9,426.58

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Solution

The fourth proportional to 16,500.31, 22,771.63 and 9,426.58 is: 13,009.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.31 : 22,771.63 = 9,426.58 : x
  2. Step 2: Convert to fraction form
    16,500.31/22,771.63 = 9,426.58/x
  3. Step 3: Cross multiply
    16,500.31x = 22,771.63 × 9,426.58
  4. Step 4: Simplify right side
    16,500.31x = 214,658,546.78
  5. Step 5: Solve for x
    x = 214,658,546.78/16,500.31
  6. Step 6: Final answer
    x = 13,009.37

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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.