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Finding the Fourth Proportional to 14,028.75, 19,354.71 and 9,257.65

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Solution

The fourth proportional to 14,028.75, 19,354.71 and 9,257.65 is: 12,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,028.75 : 19,354.71 = 9,257.65 : x
  2. Step 2: Convert to fraction form
    14,028.75/19,354.71 = 9,257.65/x
  3. Step 3: Cross multiply
    14,028.75x = 19,354.71 × 9,257.65
  4. Step 4: Simplify right side
    14,028.75x = 179,179,131.03
  5. Step 5: Solve for x
    x = 179,179,131.03/14,028.75
  6. Step 6: Final answer
    x = 12,772.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.