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Finding the Fourth Proportional to 14,193.78, 21,290.83 and 5,429.14

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Solution

The fourth proportional to 14,193.78, 21,290.83 and 5,429.14 is: 8,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193.78 : 21,290.83 = 5,429.14 : x
  2. Step 2: Convert to fraction form
    14,193.78/21,290.83 = 5,429.14/x
  3. Step 3: Cross multiply
    14,193.78x = 21,290.83 × 5,429.14
  4. Step 4: Simplify right side
    14,193.78x = 115,590,896.79
  5. Step 5: Solve for x
    x = 115,590,896.79/14,193.78
  6. Step 6: Final answer
    x = 8,143.77

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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.