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Finding the Fourth Proportional to 16,546.16, 22,833.75 and 9,472.64

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Solution

The fourth proportional to 16,546.16, 22,833.75 and 9,472.64 is: 13,072.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.16 : 22,833.75 = 9,472.64 : x
  2. Step 2: Convert to fraction form
    16,546.16/22,833.75 = 9,472.64/x
  3. Step 3: Cross multiply
    16,546.16x = 22,833.75 × 9,472.64
  4. Step 4: Simplify right side
    16,546.16x = 216,295,779.43
  5. Step 5: Solve for x
    x = 216,295,779.43/16,546.16
  6. Step 6: Final answer
    x = 13,072.27

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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.