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Finding the Fourth Proportional to 19,934.24, 29,868.42 and 8,824.28

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Solution

The fourth proportional to 19,934.24, 29,868.42 and 8,824.28 is: 13,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,934.24 : 29,868.42 = 8,824.28 : x
  2. Step 2: Convert to fraction form
    19,934.24/29,868.42 = 8,824.28/x
  3. Step 3: Cross multiply
    19,934.24x = 29,868.42 × 8,824.28
  4. Step 4: Simplify right side
    19,934.24x = 263,567,301.24
  5. Step 5: Solve for x
    x = 263,567,301.24/19,934.24
  6. Step 6: Final answer
    x = 13,221.84

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