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Finding the Fourth Proportional to 24,783.92, 34,189.80 and 16,407.44

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Solution

The fourth proportional to 24,783.92, 34,189.80 and 16,407.44 is: 22,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783.92 : 34,189.80 = 16,407.44 : x
  2. Step 2: Convert to fraction form
    24,783.92/34,189.80 = 16,407.44/x
  3. Step 3: Cross multiply
    24,783.92x = 34,189.80 × 16,407.44
  4. Step 4: Simplify right side
    24,783.92x = 560,967,092.11
  5. Step 5: Solve for x
    x = 560,967,092.11/24,783.92
  6. Step 6: Final answer
    x = 22,634.32

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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.