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Finding the Fourth Proportional to 14,317.97, 21,476.00 and 5,429.63

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Solution

The fourth proportional to 14,317.97, 21,476.00 and 5,429.63 is: 8,144.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,317.97 : 21,476.00 = 5,429.63 : x
  2. Step 2: Convert to fraction form
    14,317.97/21,476.00 = 5,429.63/x
  3. Step 3: Cross multiply
    14,317.97x = 21,476.00 × 5,429.63
  4. Step 4: Simplify right side
    14,317.97x = 116,606,801.14
  5. Step 5: Solve for x
    x = 116,606,801.14/14,317.97
  6. Step 6: Final answer
    x = 8,144.09

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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.