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Finding the Fourth Proportional to 12,677.72, 17,493.57 and 7,643.97

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Solution

The fourth proportional to 12,677.72, 17,493.57 and 7,643.97 is: 10,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.72 : 17,493.57 = 7,643.97 : x
  2. Step 2: Convert to fraction form
    12,677.72/17,493.57 = 7,643.97/x
  3. Step 3: Cross multiply
    12,677.72x = 17,493.57 × 7,643.97
  4. Step 4: Simplify right side
    12,677.72x = 133,720,324.27
  5. Step 5: Solve for x
    x = 133,720,324.27/12,677.72
  6. Step 6: Final answer
    x = 10,547.67

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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.