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Finding the Fourth Proportional to 27,771.64, 41,649.50 and 9,053.32

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Solution

The fourth proportional to 27,771.64, 41,649.50 and 9,053.32 is: 13,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.64 : 41,649.50 = 9,053.32 : x
  2. Step 2: Convert to fraction form
    27,771.64/41,649.50 = 9,053.32/x
  3. Step 3: Cross multiply
    27,771.64x = 41,649.50 × 9,053.32
  4. Step 4: Simplify right side
    27,771.64x = 377,066,043.09
  5. Step 5: Solve for x
    x = 377,066,043.09/27,771.64
  6. Step 6: Final answer
    x = 13,577.38

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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.