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Finding the Fourth Proportional to 14,396.48, 21,581.76 and 5,156

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Solution

The fourth proportional to 14,396.48, 21,581.76 and 5,156 is: 7,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.48 : 21,581.76 = 5,156 : x
  2. Step 2: Convert to fraction form
    14,396.48/21,581.76 = 5,156/x
  3. Step 3: Cross multiply
    14,396.48x = 21,581.76 × 5,156
  4. Step 4: Simplify right side
    14,396.48x = 111,275,554.56
  5. Step 5: Solve for x
    x = 111,275,554.56/14,396.48
  6. Step 6: Final answer
    x = 7,729.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.