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Finding the Fourth Proportional to 19,381.68, 29,082.24 and 7,698.24

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Solution

The fourth proportional to 19,381.68, 29,082.24 and 7,698.24 is: 11,551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,381.68 : 29,082.24 = 7,698.24 : x
  2. Step 2: Convert to fraction form
    19,381.68/29,082.24 = 7,698.24/x
  3. Step 3: Cross multiply
    19,381.68x = 29,082.24 × 7,698.24
  4. Step 4: Simplify right side
    19,381.68x = 223,882,063.26
  5. Step 5: Solve for x
    x = 223,882,063.26/19,381.68
  6. Step 6: Final answer
    x = 11,551.22

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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.