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Finding the Fourth Proportional to 19,932.92, 29,899.38 and 8,233.28

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Solution

The fourth proportional to 19,932.92, 29,899.38 and 8,233.28 is: 12,349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,932.92 : 29,899.38 = 8,233.28 : x
  2. Step 2: Convert to fraction form
    19,932.92/29,899.38 = 8,233.28/x
  3. Step 3: Cross multiply
    19,932.92x = 29,899.38 × 8,233.28
  4. Step 4: Simplify right side
    19,932.92x = 246,169,967.37
  5. Step 5: Solve for x
    x = 246,169,967.37/19,932.92
  6. Step 6: Final answer
    x = 12,349.92

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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.