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Finding the Fourth Proportional to 14,412.33, 19,883.48 and 8,441.82

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Solution

The fourth proportional to 14,412.33, 19,883.48 and 8,441.82 is: 11,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412.33 : 19,883.48 = 8,441.82 : x
  2. Step 2: Convert to fraction form
    14,412.33/19,883.48 = 8,441.82/x
  3. Step 3: Cross multiply
    14,412.33x = 19,883.48 × 8,441.82
  4. Step 4: Simplify right side
    14,412.33x = 167,852,716.92
  5. Step 5: Solve for x
    x = 167,852,716.92/14,412.33
  6. Step 6: Final answer
    x = 11,646.47

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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.