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Finding the Fourth Proportional to 13,697.34, 18,902.25 and 7,409.76

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Solution

The fourth proportional to 13,697.34, 18,902.25 and 7,409.76 is: 10,225.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.34 : 18,902.25 = 7,409.76 : x
  2. Step 2: Convert to fraction form
    13,697.34/18,902.25 = 7,409.76/x
  3. Step 3: Cross multiply
    13,697.34x = 18,902.25 × 7,409.76
  4. Step 4: Simplify right side
    13,697.34x = 140,061,135.96
  5. Step 5: Solve for x
    x = 140,061,135.96/13,697.34
  6. Step 6: Final answer
    x = 10,225.43

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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.