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Finding the Fourth Proportional to 12,635.91, 17,438.07 and 6,971.31

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Solution

The fourth proportional to 12,635.91, 17,438.07 and 6,971.31 is: 9,620.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.91 : 17,438.07 = 6,971.31 : x
  2. Step 2: Convert to fraction form
    12,635.91/17,438.07 = 6,971.31/x
  3. Step 3: Cross multiply
    12,635.91x = 17,438.07 × 6,971.31
  4. Step 4: Simplify right side
    12,635.91x = 121,566,191.77
  5. Step 5: Solve for x
    x = 121,566,191.77/12,635.91
  6. Step 6: Final answer
    x = 9,620.69

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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.