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Finding the Fourth Proportional to 26,530.71, 39,782.36 and 7,808.31

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Solution

The fourth proportional to 26,530.71, 39,782.36 and 7,808.31 is: 11,708.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,530.71 : 39,782.36 = 7,808.31 : x
  2. Step 2: Convert to fraction form
    26,530.71/39,782.36 = 7,808.31/x
  3. Step 3: Cross multiply
    26,530.71x = 39,782.36 × 7,808.31
  4. Step 4: Simplify right side
    26,530.71x = 310,632,999.41
  5. Step 5: Solve for x
    x = 310,632,999.41/26,530.71
  6. Step 6: Final answer
    x = 11,708.43

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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.