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Finding the Fourth Proportional to 19,844.24, 29,771.40 and 14,012.24

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Solution

The fourth proportional to 19,844.24, 29,771.40 and 14,012.24 is: 21,021.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,844.24 : 29,771.40 = 14,012.24 : x
  2. Step 2: Convert to fraction form
    19,844.24/29,771.40 = 14,012.24/x
  3. Step 3: Cross multiply
    19,844.24x = 29,771.40 × 14,012.24
  4. Step 4: Simplify right side
    19,844.24x = 417,164,001.94
  5. Step 5: Solve for x
    x = 417,164,001.94/19,844.24
  6. Step 6: Final answer
    x = 21,021.92

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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.