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Finding the Fourth Proportional to 13,697.39, 18,902.38 and 7,409.75

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Solution

The fourth proportional to 13,697.39, 18,902.38 and 7,409.75 is: 10,225.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.39 : 18,902.38 = 7,409.75 : x
  2. Step 2: Convert to fraction form
    13,697.39/18,902.38 = 7,409.75/x
  3. Step 3: Cross multiply
    13,697.39x = 18,902.38 × 7,409.75
  4. Step 4: Simplify right side
    13,697.39x = 140,061,797.17
  5. Step 5: Solve for x
    x = 140,061,797.17/13,697.39
  6. Step 6: Final answer
    x = 10,225.44

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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.