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Finding the Fourth Proportional to 16,256.55, 22,431.09 and 9,542.46

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Solution

The fourth proportional to 16,256.55, 22,431.09 and 9,542.46 is: 13,166.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,256.55 : 22,431.09 = 9,542.46 : x
  2. Step 2: Convert to fraction form
    16,256.55/22,431.09 = 9,542.46/x
  3. Step 3: Cross multiply
    16,256.55x = 22,431.09 × 9,542.46
  4. Step 4: Simplify right side
    16,256.55x = 214,047,779.08
  5. Step 5: Solve for x
    x = 214,047,779.08/16,256.55
  6. Step 6: Final answer
    x = 13,166.86

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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.