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Finding the Fourth Proportional to 25,882.56, 35,697.36 and 16,798

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Solution

The fourth proportional to 25,882.56, 35,697.36 and 16,798 is: 23,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,882.56 : 35,697.36 = 16,798 : x
  2. Step 2: Convert to fraction form
    25,882.56/35,697.36 = 16,798/x
  3. Step 3: Cross multiply
    25,882.56x = 35,697.36 × 16,798
  4. Step 4: Simplify right side
    25,882.56x = 599,644,253.28
  5. Step 5: Solve for x
    x = 599,644,253.28/25,882.56
  6. Step 6: Final answer
    x = 23,167.89

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Why These Related Problems?

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