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Finding the Fourth Proportional to 16,814.64, 23,205.24 and 9,362.64

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Solution

The fourth proportional to 16,814.64, 23,205.24 and 9,362.64 is: 12,921.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.64 : 23,205.24 = 9,362.64 : x
  2. Step 2: Convert to fraction form
    16,814.64/23,205.24 = 9,362.64/x
  3. Step 3: Cross multiply
    16,814.64x = 23,205.24 × 9,362.64
  4. Step 4: Simplify right side
    16,814.64x = 217,262,308.23
  5. Step 5: Solve for x
    x = 217,262,308.23/16,814.64
  6. Step 6: Final answer
    x = 12,921.02

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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.