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Finding the Fourth Proportional to 19,850.16, 29,767.36 and 9,454.64

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Solution

The fourth proportional to 19,850.16, 29,767.36 and 9,454.64 is: 14,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,850.16 : 29,767.36 = 9,454.64 : x
  2. Step 2: Convert to fraction form
    19,850.16/29,767.36 = 9,454.64/x
  3. Step 3: Cross multiply
    19,850.16x = 29,767.36 × 9,454.64
  4. Step 4: Simplify right side
    19,850.16x = 281,439,672.55
  5. Step 5: Solve for x
    x = 281,439,672.55/19,850.16
  6. Step 6: Final answer
    x = 14,178.21

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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.