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Finding the Fourth Proportional to 26,962.50, 40,451.73 and 13,824.09

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Solution

The fourth proportional to 26,962.50, 40,451.73 and 13,824.09 is: 20,740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,962.50 : 40,451.73 = 13,824.09 : x
  2. Step 2: Convert to fraction form
    26,962.50/40,451.73 = 13,824.09/x
  3. Step 3: Cross multiply
    26,962.50x = 40,451.73 × 13,824.09
  4. Step 4: Simplify right side
    26,962.50x = 559,208,356.18
  5. Step 5: Solve for x
    x = 559,208,356.18/26,962.50
  6. Step 6: Final answer
    x = 20,740.23

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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.