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Finding the Fourth Proportional to 27,177.28, 37,505.28 and 16,000

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Solution

The fourth proportional to 27,177.28, 37,505.28 and 16,000 is: 22,080.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,177.28 : 37,505.28 = 16,000 : x
  2. Step 2: Convert to fraction form
    27,177.28/37,505.28 = 16,000/x
  3. Step 3: Cross multiply
    27,177.28x = 37,505.28 × 16,000
  4. Step 4: Simplify right side
    27,177.28x = 600,084,480
  5. Step 5: Solve for x
    x = 600,084,480/27,177.28
  6. Step 6: Final answer
    x = 22,080.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.