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Finding the Fourth Proportional to 19,684.46, 27,157.74 and 12,614.78

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Solution

The fourth proportional to 19,684.46, 27,157.74 and 12,614.78 is: 17,404.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.46 : 27,157.74 = 12,614.78 : x
  2. Step 2: Convert to fraction form
    19,684.46/27,157.74 = 12,614.78/x
  3. Step 3: Cross multiply
    19,684.46x = 27,157.74 × 12,614.78
  4. Step 4: Simplify right side
    19,684.46x = 342,588,915.40
  5. Step 5: Solve for x
    x = 342,588,915.40/19,684.46
  6. Step 6: Final answer
    x = 17,404.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.