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Finding the Fourth Proportional to 26,532.92, 39,808.02 and 12,683

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Solution

The fourth proportional to 26,532.92, 39,808.02 and 12,683 is: 19,028.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,532.92 : 39,808.02 = 12,683 : x
  2. Step 2: Convert to fraction form
    26,532.92/39,808.02 = 12,683/x
  3. Step 3: Cross multiply
    26,532.92x = 39,808.02 × 12,683
  4. Step 4: Simplify right side
    26,532.92x = 504,885,117.66
  5. Step 5: Solve for x
    x = 504,885,117.66/26,532.92
  6. Step 6: Final answer
    x = 19,028.63

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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.