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Finding the Fourth Proportional to 14,431.14, 21,606.75 and 7,842.42

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Solution

The fourth proportional to 14,431.14, 21,606.75 and 7,842.42 is: 11,741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.14 : 21,606.75 = 7,842.42 : x
  2. Step 2: Convert to fraction form
    14,431.14/21,606.75 = 7,842.42/x
  3. Step 3: Cross multiply
    14,431.14x = 21,606.75 × 7,842.42
  4. Step 4: Simplify right side
    14,431.14x = 169,449,208.34
  5. Step 5: Solve for x
    x = 169,449,208.34/14,431.14
  6. Step 6: Final answer
    x = 11,741.91

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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.