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Finding the Fourth Proportional to 23,288.64, 32,083.68 and 16,202.88

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Solution

The fourth proportional to 23,288.64, 32,083.68 and 16,202.88 is: 22,321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,288.64 : 32,083.68 = 16,202.88 : x
  2. Step 2: Convert to fraction form
    23,288.64/32,083.68 = 16,202.88/x
  3. Step 3: Cross multiply
    23,288.64x = 32,083.68 × 16,202.88
  4. Step 4: Simplify right side
    23,288.64x = 519,848,017.00
  5. Step 5: Solve for x
    x = 519,848,017.00/23,288.64
  6. Step 6: Final answer
    x = 22,321.96

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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.