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Finding the Fourth Proportional to 15,697, 21,654.24 and 10,396.27

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Solution

The fourth proportional to 15,697, 21,654.24 and 10,396.27 is: 14,341.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697 : 21,654.24 = 10,396.27 : x
  2. Step 2: Convert to fraction form
    15,697/21,654.24 = 10,396.27/x
  3. Step 3: Cross multiply
    15,697x = 21,654.24 × 10,396.27
  4. Step 4: Simplify right side
    15,697x = 225,123,325.68
  5. Step 5: Solve for x
    x = 225,123,325.68/15,697
  6. Step 6: Final answer
    x = 14,341.81

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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.