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Finding the Fourth Proportional to 18,697.52, 25,801.50 and 10,739

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Solution

The fourth proportional to 18,697.52, 25,801.50 and 10,739 is: 14,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,697.52 : 25,801.50 = 10,739 : x
  2. Step 2: Convert to fraction form
    18,697.52/25,801.50 = 10,739/x
  3. Step 3: Cross multiply
    18,697.52x = 25,801.50 × 10,739
  4. Step 4: Simplify right side
    18,697.52x = 277,082,308.50
  5. Step 5: Solve for x
    x = 277,082,308.50/18,697.52
  6. Step 6: Final answer
    x = 14,819.20

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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.