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Finding the Fourth Proportional to 19,943, 29,911.24 and 14,081.84

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Solution

The fourth proportional to 19,943, 29,911.24 and 14,081.84 is: 21,120.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,943 : 29,911.24 = 14,081.84 : x
  2. Step 2: Convert to fraction form
    19,943/29,911.24 = 14,081.84/x
  3. Step 3: Cross multiply
    19,943x = 29,911.24 × 14,081.84
  4. Step 4: Simplify right side
    19,943x = 421,205,295.88
  5. Step 5: Solve for x
    x = 421,205,295.88/19,943
  6. Step 6: Final answer
    x = 21,120.46

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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.