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Finding the Fourth Proportional to 19,972.84, 29,928.46 and 9,829.57

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Solution

The fourth proportional to 19,972.84, 29,928.46 and 9,829.57 is: 14,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,972.84 : 29,928.46 = 9,829.57 : x
  2. Step 2: Convert to fraction form
    19,972.84/29,928.46 = 9,829.57/x
  3. Step 3: Cross multiply
    19,972.84x = 29,928.46 × 9,829.57
  4. Step 4: Simplify right side
    19,972.84x = 294,183,892.56
  5. Step 5: Solve for x
    x = 294,183,892.56/19,972.84
  6. Step 6: Final answer
    x = 14,729.20

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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.