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Finding the Fourth Proportional to 19,838.24, 29,762.36 and 14,006.24

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Solution

The fourth proportional to 19,838.24, 29,762.36 and 14,006.24 is: 21,012.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.24 : 29,762.36 = 14,006.24 : x
  2. Step 2: Convert to fraction form
    19,838.24/29,762.36 = 14,006.24/x
  3. Step 3: Cross multiply
    19,838.24x = 29,762.36 × 14,006.24
  4. Step 4: Simplify right side
    19,838.24x = 416,858,757.13
  5. Step 5: Solve for x
    x = 416,858,757.13/19,838.24
  6. Step 6: Final answer
    x = 21,012.89

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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.