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Finding the Fourth Proportional to 26,204.40, 39,304.80 and 8,434.80

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Solution

The fourth proportional to 26,204.40, 39,304.80 and 8,434.80 is: 12,651.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,204.40 : 39,304.80 = 8,434.80 : x
  2. Step 2: Convert to fraction form
    26,204.40/39,304.80 = 8,434.80/x
  3. Step 3: Cross multiply
    26,204.40x = 39,304.80 × 8,434.80
  4. Step 4: Simplify right side
    26,204.40x = 331,528,127.04
  5. Step 5: Solve for x
    x = 331,528,127.04/26,204.40
  6. Step 6: Final answer
    x = 12,651.62

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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.