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Finding the Fourth Proportional to 19,949.84, 29,928 and 7,474.16

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Solution

The fourth proportional to 19,949.84, 29,928 and 7,474.16 is: 11,212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,949.84 : 29,928 = 7,474.16 : x
  2. Step 2: Convert to fraction form
    19,949.84/29,928 = 7,474.16/x
  3. Step 3: Cross multiply
    19,949.84x = 29,928 × 7,474.16
  4. Step 4: Simplify right side
    19,949.84x = 223,686,660.48
  5. Step 5: Solve for x
    x = 223,686,660.48/19,949.84
  6. Step 6: Final answer
    x = 11,212.45

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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.