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Finding the Fourth Proportional to 22,670.86, 33,982.86 and 16,415.36

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Solution

The fourth proportional to 22,670.86, 33,982.86 and 16,415.36 is: 24,606.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,670.86 : 33,982.86 = 16,415.36 : x
  2. Step 2: Convert to fraction form
    22,670.86/33,982.86 = 16,415.36/x
  3. Step 3: Cross multiply
    22,670.86x = 33,982.86 × 16,415.36
  4. Step 4: Simplify right side
    22,670.86x = 557,840,880.73
  5. Step 5: Solve for x
    x = 557,840,880.73/22,670.86
  6. Step 6: Final answer
    x = 24,606.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.