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Finding the Fourth Proportional to 14,072.29, 21,100.64 and 5,758.14

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Solution

The fourth proportional to 14,072.29, 21,100.64 and 5,758.14 is: 8,634.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,072.29 : 21,100.64 = 5,758.14 : x
  2. Step 2: Convert to fraction form
    14,072.29/21,100.64 = 5,758.14/x
  3. Step 3: Cross multiply
    14,072.29x = 21,100.64 × 5,758.14
  4. Step 4: Simplify right side
    14,072.29x = 121,500,439.21
  5. Step 5: Solve for x
    x = 121,500,439.21/14,072.29
  6. Step 6: Final answer
    x = 8,634.02

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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.