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Finding the Fourth Proportional to 18,697.82, 25,801.53 and 10,738.50

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Solution

The fourth proportional to 18,697.82, 25,801.53 and 10,738.50 is: 14,818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,697.82 : 25,801.53 = 10,738.50 : x
  2. Step 2: Convert to fraction form
    18,697.82/25,801.53 = 10,738.50/x
  3. Step 3: Cross multiply
    18,697.82x = 25,801.53 × 10,738.50
  4. Step 4: Simplify right side
    18,697.82x = 277,069,729.91
  5. Step 5: Solve for x
    x = 277,069,729.91/18,697.82
  6. Step 6: Final answer
    x = 14,818.29

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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.