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Finding the Fourth Proportional to 26,940.88, 40,416.72 and 9,406

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Solution

The fourth proportional to 26,940.88, 40,416.72 and 9,406 is: 14,110.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,940.88 : 40,416.72 = 9,406 : x
  2. Step 2: Convert to fraction form
    26,940.88/40,416.72 = 9,406/x
  3. Step 3: Cross multiply
    26,940.88x = 40,416.72 × 9,406
  4. Step 4: Simplify right side
    26,940.88x = 380,159,668.32
  5. Step 5: Solve for x
    x = 380,159,668.32/26,940.88
  6. Step 6: Final answer
    x = 14,110.89

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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.