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Finding the Fourth Proportional to 13,294.64, 19,941.94 and 3,934.75

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Solution

The fourth proportional to 13,294.64, 19,941.94 and 3,934.75 is: 5,902.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.64 : 19,941.94 = 3,934.75 : x
  2. Step 2: Convert to fraction form
    13,294.64/19,941.94 = 3,934.75/x
  3. Step 3: Cross multiply
    13,294.64x = 19,941.94 × 3,934.75
  4. Step 4: Simplify right side
    13,294.64x = 78,466,548.42
  5. Step 5: Solve for x
    x = 78,466,548.42/13,294.64
  6. Step 6: Final answer
    x = 5,902.12

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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.