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Finding the Fourth Proportional to 14,080.67, 19,431.17 and 7,707.25

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Solution

The fourth proportional to 14,080.67, 19,431.17 and 7,707.25 is: 10,635.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080.67 : 19,431.17 = 7,707.25 : x
  2. Step 2: Convert to fraction form
    14,080.67/19,431.17 = 7,707.25/x
  3. Step 3: Cross multiply
    14,080.67x = 19,431.17 × 7,707.25
  4. Step 4: Simplify right side
    14,080.67x = 149,760,749.29
  5. Step 5: Solve for x
    x = 149,760,749.29/14,080.67
  6. Step 6: Final answer
    x = 10,635.91

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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.