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Finding the Fourth Proportional to 23,752.96, 32,774.40 and 16,204.80

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Solution

The fourth proportional to 23,752.96, 32,774.40 and 16,204.80 is: 22,359.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,752.96 : 32,774.40 = 16,204.80 : x
  2. Step 2: Convert to fraction form
    23,752.96/32,774.40 = 16,204.80/x
  3. Step 3: Cross multiply
    23,752.96x = 32,774.40 × 16,204.80
  4. Step 4: Simplify right side
    23,752.96x = 531,102,597.12
  5. Step 5: Solve for x
    x = 531,102,597.12/23,752.96
  6. Step 6: Final answer
    x = 22,359.43

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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.