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Finding the Fourth Proportional to 19,968, 29,935.08 and 13,374

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Solution

The fourth proportional to 19,968, 29,935.08 and 13,374 is: 20,049.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,968 : 29,935.08 = 13,374 : x
  2. Step 2: Convert to fraction form
    19,968/29,935.08 = 13,374/x
  3. Step 3: Cross multiply
    19,968x = 29,935.08 × 13,374
  4. Step 4: Simplify right side
    19,968x = 400,351,759.92
  5. Step 5: Solve for x
    x = 400,351,759.92/19,968
  6. Step 6: Final answer
    x = 20,049.67

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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.