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Finding the Fourth Proportional to 14,424.25, 19,907.43 and 8,458.30

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Solution

The fourth proportional to 14,424.25, 19,907.43 and 8,458.30 is: 11,673.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424.25 : 19,907.43 = 8,458.30 : x
  2. Step 2: Convert to fraction form
    14,424.25/19,907.43 = 8,458.30/x
  3. Step 3: Cross multiply
    14,424.25x = 19,907.43 × 8,458.30
  4. Step 4: Simplify right side
    14,424.25x = 168,383,015.17
  5. Step 5: Solve for x
    x = 168,383,015.17/14,424.25
  6. Step 6: Final answer
    x = 11,673.61

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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.