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Finding the Fourth Proportional to 27,172.88, 40,765.44 and 9,642.68

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Solution

The fourth proportional to 27,172.88, 40,765.44 and 9,642.68 is: 14,466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,172.88 : 40,765.44 = 9,642.68 : x
  2. Step 2: Convert to fraction form
    27,172.88/40,765.44 = 9,642.68/x
  3. Step 3: Cross multiply
    27,172.88x = 40,765.44 × 9,642.68
  4. Step 4: Simplify right side
    27,172.88x = 393,088,092.98
  5. Step 5: Solve for x
    x = 393,088,092.98/27,172.88
  6. Step 6: Final answer
    x = 14,466.19

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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.