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Finding the Fourth Proportional to 22,843.74, 34,199.49 and 14,051.94

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Solution

The fourth proportional to 22,843.74, 34,199.49 and 14,051.94 is: 21,037.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,843.74 : 34,199.49 = 14,051.94 : x
  2. Step 2: Convert to fraction form
    22,843.74/34,199.49 = 14,051.94/x
  3. Step 3: Cross multiply
    22,843.74x = 34,199.49 × 14,051.94
  4. Step 4: Simplify right side
    22,843.74x = 480,569,181.51
  5. Step 5: Solve for x
    x = 480,569,181.51/22,843.74
  6. Step 6: Final answer
    x = 21,037.24

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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.